Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67416c |
Isogeny class |
Conductor |
67416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-21652275729475584 = -1 · 211 · 32 · 537 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 3 -2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90824,-12662868] |
[a1,a2,a3,a4,a6] |
Generators |
[266482066:5894164083:405224] |
Generators of the group modulo torsion |
j |
-1825346/477 |
j-invariant |
L |
8.0250961910228 |
L(r)(E,1)/r! |
Ω |
0.13564960692942 |
Real period |
R |
14.790120613228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1272a1 |
Quadratic twists by: 53 |