Atkin-Lehner |
2- 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640w |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-10828799280 = -1 · 24 · 39 · 5 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,378,-4131] |
[a1,a2,a3,a4,a6] |
j |
18966528/34385 |
j-invariant |
L |
5.367382899586 |
L(r)(E,1)/r! |
Ω |
0.67092285033397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107640a1 |
Quadratic twists by: -3 |