Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805l |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1206898363494425 = 52 · 76 · 177 |
Discriminant |
Eigenvalues |
1 2 5+ 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-120663,15995792] |
[a1,a2,a3,a4,a6] |
j |
68417929/425 |
j-invariant |
L |
0.97754119393729 |
L(r)(E,1)/r! |
Ω |
0.48877060705983 |
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 |
1445d1 4165j1 |
Quadratic twists by: -7 17 |