Atkin-Lehner |
3+ 5+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
91425c |
Isogeny class |
Conductor |
91425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
492837890625 = 32 · 59 · 232 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2875,-50000] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:110:1] |
Generators of the group modulo torsion |
j |
168288035761/31541625 |
j-invariant |
L |
5.041284340372 |
L(r)(E,1)/r! |
Ω |
0.66041317613363 |
Real period |
R |
3.8167654253567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999725038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18285d1 |
Quadratic twists by: 5 |