Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
85305s |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
151123011105 = 3 · 5 · 118 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1334,-1333] |
[a1,a2,a3,a4,a6] |
Generators |
[6355:28116:125] |
Generators of the group modulo torsion |
j |
148035889/85305 |
j-invariant |
L |
6.3866897219405 |
L(r)(E,1)/r! |
Ω |
0.86058963988666 |
Real period |
R |
7.4212951531944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7755f1 |
Quadratic twists by: -11 |