Atkin-Lehner |
2+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
6464g |
Isogeny class |
Conductor |
6464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
-652864 = -1 · 26 · 1012 |
Discriminant |
Eigenvalues |
2+ 2 2 2 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,-70] |
[a1,a2,a3,a4,a6] |
j |
-58411072/10201 |
j-invariant |
L |
4.4622279387367 |
L(r)(E,1)/r! |
Ω |
0.99160620860816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6464i1 3232c2 58176o1 |
Quadratic twists by: -4 8 -3 |