Atkin-Lehner |
2+ 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008j |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-119691264 = -1 · 211 · 3 · 7 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,672] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-22:1] |
Generators of the group modulo torsion |
j |
-48275138/58443 |
j-invariant |
L |
4.3220255241663 |
L(r)(E,1)/r! |
Ω |
1.6865524874762 |
Real period |
R |
0.64065980109999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504t1 |
Quadratic twists by: -4 |