Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
63480b |
Isogeny class |
Conductor |
63480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-980589728736000 = -1 · 28 · 32 · 53 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7759,-1486059] |
[a1,a2,a3,a4,a6] |
Generators |
[215:-3174:1] [113:906:1] |
Generators of the group modulo torsion |
j |
1362944/25875 |
j-invariant |
L |
8.0880708403262 |
L(r)(E,1)/r! |
Ω |
0.24068311419525 |
Real period |
R |
1.050145186151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126960n1 2760c1 |
Quadratic twists by: -4 -23 |