Atkin-Lehner |
2- 3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758u |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
689680982592 = 26 · 310 · 7 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3154,54980] |
[a1,a2,a3,a4,a6] |
Generators |
[8:170:1] |
Generators of the group modulo torsion |
j |
3469903405095457/689680982592 |
j-invariant |
L |
9.5169509677655 |
L(r)(E,1)/r! |
Ω |
0.8586097410072 |
Real period |
R |
0.36947134859348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113274y1 |
Quadratic twists by: -3 |