Atkin-Lehner |
2+ 3+ 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370a |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
51792000 = 27 · 3 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 4 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-93,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
90458382169/51792000 |
j-invariant |
L |
3.9570063833279 |
L(r)(E,1)/r! |
Ω |
1.7106165484344 |
Real period |
R |
2.3132047839415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97110cj1 |
Quadratic twists by: -3 |