Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8712b |
Isogeny class |
Conductor |
8712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
26826826752 = 210 · 39 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-891,6534] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:108:1] |
Generators of the group modulo torsion |
j |
2916 |
j-invariant |
L |
4.1560510088036 |
L(r)(E,1)/r! |
Ω |
1.0916342053637 |
Real period |
R |
1.9035914175201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17424d1 69696a1 8712o1 8712p1 |
Quadratic twists by: -4 8 -3 -11 |