Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544cy |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
55931904 = 210 · 33 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:17:1] |
Generators of the group modulo torsion |
j |
3538944/2023 |
j-invariant |
L |
3.6461698350011 |
L(r)(E,1)/r! |
Ω |
1.6522511518771 |
Real period |
R |
1.1033945509169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544v1 17136q1 68544cu1 |
Quadratic twists by: -4 8 -3 |