Atkin-Lehner |
2- 3- 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826u |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
10013381082297054 = 2 · 36 · 77 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82472,7761597] |
[a1,a2,a3,a4,a6] |
Generators |
[28891200:-3190671:262144] |
Generators of the group modulo torsion |
j |
85096329293877049/13735776518926 |
j-invariant |
L |
9.7331615195338 |
L(r)(E,1)/r! |
Ω |
0.38966875158126 |
Real period |
R |
12.489019815004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6314b1 |
Quadratic twists by: -3 |