Atkin-Lehner |
2+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
71104a |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
782144 = 26 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 0 -3 0 11+ 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104,-406] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:11:8] |
Generators of the group modulo torsion |
j |
1943764992/12221 |
j-invariant |
L |
4.3298527052654 |
L(r)(E,1)/r! |
Ω |
1.4955664281808 |
Real period |
R |
1.4475628175614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71104o1 1111a1 |
Quadratic twists by: -4 8 |