Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720p |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
1 |
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 |
[-54593:7706:1331] |
Generators of the group modulo torsion |
j |
5379612920648/1002020285 |
j-invariant |
L |
5.6878580130646 |
L(r)(E,1)/r! |
Ω |
0.65780410157807 |
Real period |
R |
8.6467354025615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34720m1 69440ct1 |
Quadratic twists by: -4 8 |