Atkin-Lehner |
2+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720r |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
322723842621440 = 234 · 5 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19585,611457] |
[a1,a2,a3,a4,a6] |
j |
3169397364769/1231093760 |
j-invariant |
L |
3.9528941683806 |
L(r)(E,1)/r! |
Ω |
0.49411177079661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720bo1 2210d1 |
Quadratic twists by: -4 8 |