Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656i |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3260844103872 = -1 · 26 · 3 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-842,-87108] |
[a1,a2,a3,a4,a6] |
j |
-21952/1083 |
j-invariant |
L |
2.7907896033889 |
L(r)(E,1)/r! |
Ω |
0.34884870042464 |
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 |
34656s1 69312dr2 103968ch1 1824k1 |
Quadratic twists by: -4 8 -3 -19 |