Atkin-Lehner |
2+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162r |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
1445791035717538048 = 28 · 79 · 116 · 79 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-375496,-66964416] |
[a1,a2,a3,a4,a6] |
j |
49768215360798537/12289021034752 |
j-invariant |
L |
1.1780718069014 |
L(r)(E,1)/r! |
Ω |
0.19634529955482 |
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 |
12166f1 |
Quadratic twists by: -7 |