Atkin-Lehner |
7- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
56693b |
Isogeny class |
Conductor |
56693 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
77112 |
Modular degree for the optimal curve |
Δ |
23004261917 = 76 · 133 · 89 |
Discriminant |
Eigenvalues |
2 -2 -2 7- 4 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2564,48591] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:2517:8] |
Generators of the group modulo torsion |
j |
15851081728/195533 |
j-invariant |
L |
6.780976908755 |
L(r)(E,1)/r! |
Ω |
1.2068100707781 |
Real period |
R |
5.6189263519534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1157c1 |
Quadratic twists by: -7 |