Atkin-Lehner |
2- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
108664b |
Isogeny class |
Conductor |
108664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
928192643744768 = 210 · 177 · 472 |
Discriminant |
Eigenvalues |
2- 0 2 2 -2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37859,2427022] |
[a1,a2,a3,a4,a6] |
Generators |
[78786:22114252:1] |
Generators of the group modulo torsion |
j |
242793828/37553 |
j-invariant |
L |
8.8985004226714 |
L(r)(E,1)/r! |
Ω |
0.47585749217131 |
Real period |
R |
9.3499635183395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6392b1 |
Quadratic twists by: 17 |