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	119025u	Isogeny class
Conductor	119025	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	709632	Modular degree for the optimal curve
Δ	-4281653120238675 = -1 · 37 · 52 · 238	Discriminant
Eigenvalues	0 3- 5+  3  2  3  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-539580,-152589389]	[a1,a2,a3,a4,a6]
Generators	[78192065:3010094627:42875]	Generators of the group modulo torsion
j	-6439567360/1587	j-invariant
L	7.2711750074209	L(r)(E,1)/r!
Ω	0.08807429535892	Real period
R	10.319660942023	Regulator
r	1	Rank of the group of rational points
S	1.0000000111299	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39675b1 119025ca1 5175k1	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 119025u1

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
0	-	+	3	2	3	0	-1	-	0	1	6	-4	-5	10	-4	6	-1	7	4	-2	0	-14	-2	7

---

Quadratic twists for elliptic curve 119025u1

-3	5	-23
39675b1	119025ca1	5175k1

---

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