Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bg |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-1435778299536384 = -1 · 210 · 3 · 178 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-109377836,440284212624] |
[a1,a2,a3,a4,a6] |
Generators |
[162624:-26980:27] |
Generators of the group modulo torsion |
j |
-5995400011432589616481/59483136 |
j-invariant |
L |
13.638898115929 |
L(r)(E,1)/r! |
Ω |
0.23957268021362 |
Real period |
R |
2.8465052962547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834q1 |
Quadratic twists by: 17 |