Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bn |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1140042618392832 = 28 · 35 · 78 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-129263,-17867851] |
[a1,a2,a3,a4,a6] |
j |
2030291400390625/9690202368 |
j-invariant |
L |
2.0148638850798 |
L(r)(E,1)/r! |
Ω |
0.25185798548029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854n1 |
Quadratic twists by: -7 |