Atkin-Lehner |
5- 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117845k |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
2343074542445 = 5 · 78 · 133 · 37 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 0 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86657,9782396] |
[a1,a2,a3,a4,a6] |
Generators |
[-2722:2531:8] |
Generators of the group modulo torsion |
j |
12484126846681/406445 |
j-invariant |
L |
13.537802059153 |
L(r)(E,1)/r! |
Ω |
0.76350617449458 |
Real period |
R |
5.9103656692494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117845c1 |
Quadratic twists by: -7 |