Cremona's table of elliptic curves

119025 = 3² · 5² · 23²

Field	Data	Notes
Atkin-Lehner	3- 5- 23-	Signs for the Atkin-Lehner involutions
Class	119025cv	Isogeny class
Conductor	119025	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3548160	Modular degree for the optimal curve
Δ	-4847886232154296875 = -1 · 36 · 59 · 237	Discriminant
Eigenvalues	-2 3- 5- -1  0  2 -5 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-2182125,1245216406]	[a1,a2,a3,a4,a6]
Generators	[874:2380:1] [100:32062:1]	Generators of the group modulo torsion
j	-5451776/23	j-invariant
L	6.0529033539355	L(r)(E,1)/r!
Ω	0.24466891510242	Real period
R	1.5461974782486	Regulator
r	2	Rank of the group of rational points
S	1.0000000002215	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13225j1 119025cq1 5175z1	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 119025cv1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-2	-	-	-1	0	2	-5	-8	-	5	-5	-7	7	-4	2	-1	-3	6	-13	-13	8	14	-3	-14	-14

---

Quadratic twists for elliptic curve 119025cv1

-3	5	-23
13225j1	119025cq1	5175z1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations