Atkin-Lehner |
2- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61100g |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
-3177200 = -1 · 24 · 52 · 132 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,97] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
-1703680/7943 |
j-invariant |
L |
5.2463785948177 |
L(r)(E,1)/r! |
Ω |
2.1912579049817 |
Real period |
R |
0.39903857528609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61100p1 |
Quadratic twists by: 5 |