Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240cd |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-1624407855169536000 = -1 · 218 · 311 · 53 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,262932,-32669008] |
[a1,a2,a3,a4,a6] |
Generators |
[36182:6883072:1] |
Generators of the group modulo torsion |
j |
10519294081031/8500170375 |
j-invariant |
L |
7.1859299986584 |
L(r)(E,1)/r! |
Ω |
0.14793577570005 |
Real period |
R |
6.0718324937553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240er1 1035g1 22080r1 |
Quadratic twists by: -4 8 -3 |