Atkin-Lehner |
2+ 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520d |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30464 |
Modular degree for the optimal curve |
Δ |
60412880 = 24 · 5 · 112 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11+ 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-291,1780] |
[a1,a2,a3,a4,a6] |
j |
170912671744/3775805 |
j-invariant |
L |
1.9712276679286 |
L(r)(E,1)/r! |
Ω |
1.9712276707602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34760j1 |
Quadratic twists by: -4 |