Atkin-Lehner |
2+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
84568b |
Isogeny class |
Conductor |
84568 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1026720 |
Modular degree for the optimal curve |
Δ |
-19213929291470848 = -1 · 211 · 11 · 318 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 11+ 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1022824,397867632] |
[a1,a2,a3,a4,a6] |
Generators |
[-3206:218147:8] |
Generators of the group modulo torsion |
j |
-67749074/11 |
j-invariant |
L |
4.3274583372123 |
L(r)(E,1)/r! |
Ω |
0.37352761330537 |
Real period |
R |
3.8617924405626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84568e1 |
Quadratic twists by: -31 |