Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720v |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
4935776416563200 = 236 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142561,20488065] |
[a1,a2,a3,a4,a6] |
j |
1222331589867961/18828492800 |
j-invariant |
L |
1.733028601869 |
L(r)(E,1)/r! |
Ω |
0.43325715640428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720d1 17680n1 |
Quadratic twists by: -4 8 |