Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680ea |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
9761322283650000 = 24 · 314 · 55 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147468,21272267] |
[a1,a2,a3,a4,a6] |
j |
30406719792234496/836876053125 |
j-invariant |
L |
0.8140519287746 |
L(r)(E,1)/r! |
Ω |
0.40702599171651 |
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 |
21420r1 28560cr1 |
Quadratic twists by: -4 -3 |