Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900s |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-177876000000 = -1 · 28 · 36 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,-20250] |
[a1,a2,a3,a4,a6] |
j |
432/61 |
j-invariant |
L |
2.8768303044737 |
L(r)(E,1)/r! |
Ω |
0.479471717724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6100b1 2196f1 |
Quadratic twists by: -3 5 |