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	119025bv	Isogeny class
Conductor	119025	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	884736	Modular degree for the optimal curve
Δ	3586009376953125 = 38 · 59 · 234	Discriminant
Eigenvalues	-2 3- 5+  2  5  0  4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-39675,-975344]	[a1,a2,a3,a4,a6]
Generators	[-115:1437:1]	Generators of the group modulo torsion
j	2166784/1125	j-invariant
L	4.478321361864	L(r)(E,1)/r!
Ω	0.35804382638838	Real period
R	0.52115609571367	Regulator
r	1	Rank of the group of rational points
S	1.0000000040518	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39675n1 23805u1 119025bw1	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 119025bv1

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	-	+	2	5	0	4	-1	-	-2	7	10	1	-10	-6	-6	0	9	-14	-5	-10	-11	6	10	-2

---

Quadratic twists for elliptic curve 119025bv1

-3	5	-23
39675n1	23805u1	119025bw1

---

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