Atkin-Lehner |
2+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070t |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2408448 |
Modular degree for the optimal curve |
Δ |
1068158075944960 = 214 · 5 · 73 · 113 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27719344,56179272960] |
[a1,a2,a3,a4,a6] |
j |
6867180224731135309288527/3114163486720 |
j-invariant |
L |
1.7857760483116 |
L(r)(E,1)/r! |
Ω |
0.29762934139805 |
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 |
70070n1 |
Quadratic twists by: -7 |