Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654k |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
69499297024164 = 22 · 36 · 7 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19143,942025] |
[a1,a2,a3,a4,a6] |
Generators |
[1198:8923:8] |
Generators of the group modulo torsion |
j |
7189057/644 |
j-invariant |
L |
3.4267493576219 |
L(r)(E,1)/r! |
Ω |
0.60091970558037 |
Real period |
R |
1.4256269704771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406g1 2898h1 |
Quadratic twists by: -3 -23 |