Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700o |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
4126408459250000 = 24 · 56 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88733,9722462] |
[a1,a2,a3,a4,a6] |
Generators |
[32529:1096775:27] |
Generators of the group modulo torsion |
j |
131072/7 |
j-invariant |
L |
9.4016515909839 |
L(r)(E,1)/r! |
Ω |
0.43272024753038 |
Real period |
R |
7.2422861680547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3388b1 84700d1 |
Quadratic twists by: 5 -11 |