Atkin-Lehner |
3- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
31815l |
Isogeny class |
Conductor |
31815 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
175687997625 = 39 · 53 · 7 · 1012 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4127,101054] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:286:1] |
Generators of the group modulo torsion |
j |
10661073346729/240998625 |
j-invariant |
L |
3.9398068948492 |
L(r)(E,1)/r! |
Ω |
1.0139078242239 |
Real period |
R |
1.2952547890188 |
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 |
10605f1 |
Quadratic twists by: -3 |