Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880a |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
3721866328320 = 28 · 3 · 5 · 73 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3956,24960] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3328:1] |
Generators of the group modulo torsion |
j |
26752376766544/14538540345 |
j-invariant |
L |
3.7979229540602 |
L(r)(E,1)/r! |
Ω |
0.68612667546319 |
Real period |
R |
5.5353086978792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440v1 |
Quadratic twists by: -4 |