Atkin-Lehner |
7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64757d |
Isogeny class |
Conductor |
64757 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-320609770019 = -1 · 72 · 11 · 296 |
Discriminant |
Eigenvalues |
0 3 -1 7+ 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1682,6097] |
[a1,a2,a3,a4,a6] |
j |
884736/539 |
j-invariant |
L |
2.3767379287819 |
L(r)(E,1)/r! |
Ω |
0.59418448203399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77a1 |
Quadratic twists by: 29 |