Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950bv |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-74121093750 = -1 · 2 · 3 · 511 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963,17031] |
[a1,a2,a3,a4,a6] |
Generators |
[270:1111:8] |
Generators of the group modulo torsion |
j |
-6321363049/4743750 |
j-invariant |
L |
6.2663363910641 |
L(r)(E,1)/r! |
Ω |
1.0028489083312 |
Real period |
R |
1.5621337219911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850bt1 7590i1 |
Quadratic twists by: -3 5 |