Atkin-Lehner |
2+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6314b |
Isogeny class |
Conductor |
6314 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
13735776518926 = 2 · 77 · 112 · 413 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9163,-290521] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:253:1] |
Generators of the group modulo torsion |
j |
85096329293877049/13735776518926 |
j-invariant |
L |
1.9361696092749 |
L(r)(E,1)/r! |
Ω |
0.4932884027863 |
Real period |
R |
0.6541709333859 |
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 |
50512j1 56826u1 44198o1 69454v1 |
Quadratic twists by: -4 -3 -7 -11 |