Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010c |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-49301380430460 = -1 · 22 · 39 · 5 · 194 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-201435,34849745] |
[a1,a2,a3,a4,a6] |
Generators |
[257:-51:1] |
Generators of the group modulo torsion |
j |
-45923864941451043/2504769620 |
j-invariant |
L |
5.3720142885233 |
L(r)(E,1)/r! |
Ω |
0.59983720632936 |
Real period |
R |
2.2389467641633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010bj1 |
Quadratic twists by: -3 |