Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785l |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
4501573039445625 = 37 · 54 · 117 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79080480,-270657669749] |
[a1,a2,a3,a4,a6] |
Generators |
[-295268753402:147742391101:57512456] |
Generators of the group modulo torsion |
j |
42349468688699229721/3485625 |
j-invariant |
L |
5.032518198728 |
L(r)(E,1)/r! |
Ω |
0.050627004318721 |
Real period |
R |
12.425478916666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595f1 6435h1 |
Quadratic twists by: -3 -11 |