Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2610a |
Isogeny class |
Conductor |
2610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-14612659200 = -1 · 210 · 39 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,120,-5824] |
[a1,a2,a3,a4,a6] |
j |
9663597/742400 |
j-invariant |
L |
1.1890308772254 |
L(r)(E,1)/r! |
Ω |
0.59451543861268 |
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 |
20880bf1 83520j1 2610i1 13050ba1 |
Quadratic twists by: -4 8 -3 5 |