Atkin-Lehner |
5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86975c |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-397309634544921875 = -1 · 59 · 79 · 712 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 3 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2015533,-1102458906] |
[a1,a2,a3,a4,a6] |
j |
-492589784498176/216132875 |
j-invariant |
L |
1.0136326600932 |
L(r)(E,1)/r! |
Ω |
0.063352044155213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17395b1 12425a1 |
Quadratic twists by: 5 -7 |