Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720m |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
513034385920 = 29 · 5 · 7 · 315 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -5 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2920,49048] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:310:1] |
Generators of the group modulo torsion |
j |
5379612920648/1002020285 |
j-invariant |
L |
6.7212478049457 |
L(r)(E,1)/r! |
Ω |
0.88252015211726 |
Real period |
R |
0.76159709087895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34720p1 69440cm1 |
Quadratic twists by: -4 8 |