Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620t |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-6.1849634091207E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,877035,207623025] |
[a1,a2,a3,a4,a6] |
Generators |
[47:15778:1] |
Generators of the group modulo torsion |
j |
2477112820760576/2053567248075 |
j-invariant |
L |
5.3451137841524 |
L(r)(E,1)/r! |
Ω |
0.12737837396055 |
Real period |
R |
0.58281236556348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9660e1 |
Quadratic twists by: -7 |