Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654cb |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
2467633460544 = 26 · 39 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45329,-3702463] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:88:1] |
Generators of the group modulo torsion |
j |
50489872297/12096 |
j-invariant |
L |
7.7398624825458 |
L(r)(E,1)/r! |
Ω |
0.32719941030398 |
Real period |
R |
0.98561996121134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218o1 66654bq1 |
Quadratic twists by: -3 -23 |