Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bv |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
10725120 |
Modular degree for the optimal curve |
Δ |
2.8664368047758E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-147940066,-692652134161] |
[a1,a2,a3,a4,a6] |
Generators |
[-56186:33597:8] |
Generators of the group modulo torsion |
j |
1267654015660041499441/1014756802560 |
j-invariant |
L |
8.7091952502764 |
L(r)(E,1)/r! |
Ω |
0.04328905681653 |
Real period |
R |
5.2943945997025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730cj1 |
Quadratic twists by: -7 |