Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bq |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-7110656000000 = -1 · 221 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1608,-131212] |
[a1,a2,a3,a4,a6] |
Generators |
[18142:2443648:1] |
Generators of the group modulo torsion |
j |
-7189057/111104 |
j-invariant |
L |
8.7775195818837 |
L(r)(E,1)/r! |
Ω |
0.31978783626638 |
Real period |
R |
6.8619867524858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850h1 3472d1 |
Quadratic twists by: -4 5 |