Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350o |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
12594417363281250 = 2 · 33 · 510 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204492,-35129834] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:638:1] |
Generators of the group modulo torsion |
j |
3586658821875/47765494 |
j-invariant |
L |
4.2476178017327 |
L(r)(E,1)/r! |
Ω |
0.2246882500206 |
Real period |
R |
1.3503210399704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350dh1 91350du1 |
Quadratic twists by: -3 5 |