Atkin-Lehner |
2- 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718n |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
433896169728 = 28 · 3 · 72 · 193 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20787,-1154847] |
[a1,a2,a3,a4,a6] |
Generators |
[656:16031:1] |
Generators of the group modulo torsion |
j |
993345814201536433/433896169728 |
j-invariant |
L |
11.51357350982 |
L(r)(E,1)/r! |
Ω |
0.39761510738715 |
Real period |
R |
1.2065241502726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154p1 |
Quadratic twists by: -3 |