Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gt |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-114140260323525744 = -1 · 24 · 317 · 73 · 115 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204141,39045503] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:7623:1] |
Generators of the group modulo torsion |
j |
-235165059164416/28529701497 |
j-invariant |
L |
8.6659107258627 |
L(r)(E,1)/r! |
Ω |
0.32313774036267 |
Real period |
R |
1.3409004335985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19404u1 25872bq1 77616gu1 |
Quadratic twists by: -4 -3 -7 |