Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785k |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-152360933642775 = -1 · 37 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19080,1180251] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:11043:8] |
Generators of the group modulo torsion |
j |
-594823321/117975 |
j-invariant |
L |
4.9827830195561 |
L(r)(E,1)/r! |
Ω |
0.55378357509952 |
Real period |
R |
2.2494270523239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595p1 6435k1 |
Quadratic twists by: -3 -11 |