Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654u |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
17791820038185984 = 210 · 36 · 7 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66753,1714365] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:2412:1] [-36088:1279011:512] |
Generators of the group modulo torsion |
j |
304821217/164864 |
j-invariant |
L |
6.7824528251148 |
L(r)(E,1)/r! |
Ω |
0.33905969519327 |
Real period |
R |
5.0009282445611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406i1 2898d1 |
Quadratic twists by: -3 -23 |