Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654c |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
78385104 = 24 · 33 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 6 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-651,-6219] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:9:1] [-14:9:1] |
Generators of the group modulo torsion |
j |
2138072571/5488 |
j-invariant |
L |
6.7119887833538 |
L(r)(E,1)/r! |
Ω |
0.94523552301294 |
Real period |
R |
1.7752159699751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66654be2 66654e1 |
Quadratic twists by: -3 -23 |