Atkin-Lehner |
2+ 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162p |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
570750074192134144 = 222 · 76 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 11- -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1095061,439841653] |
[a1,a2,a3,a4,a6] |
Generators |
[314:11107:1] |
Generators of the group modulo torsion |
j |
1234384987853171097/4851295584256 |
j-invariant |
L |
1.9807747135764 |
L(r)(E,1)/r! |
Ω |
0.29236103205822 |
Real period |
R |
0.8468872801755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1738c1 |
Quadratic twists by: -7 |