Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525bm |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
565194987328125 = 3 · 56 · 77 · 114 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-37308,2514419] |
[a1,a2,a3,a4,a6] |
Generators |
[3160538:7920775:39304] |
Generators of the group modulo torsion |
j |
25104437248/2470629 |
j-invariant |
L |
15.595706182463 |
L(r)(E,1)/r! |
Ω |
0.50331174344423 |
Real period |
R |
10.328725278322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541i1 63525by1 |
Quadratic twists by: 5 -11 |