Atkin-Lehner |
2- 7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63784l |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
30529263514624 = 210 · 73 · 172 · 673 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 0 -7 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7960,-66368] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:68:1] |
Generators of the group modulo torsion |
j |
54477543627364/29813733901 |
j-invariant |
L |
6.6191660681014 |
L(r)(E,1)/r! |
Ω |
0.53993109795706 |
Real period |
R |
3.0648197949949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568p1 |
Quadratic twists by: -4 |