Atkin-Lehner |
2+ 3- 5- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26970f |
Isogeny class |
Conductor |
26970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-12514080 = -1 · 25 · 3 · 5 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,42,136] |
[a1,a2,a3,a4,a6] |
j |
8477185319/12514080 |
j-invariant |
L |
3.0527021399145 |
L(r)(E,1)/r! |
Ω |
1.5263510699572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80910p1 |
Quadratic twists by: -3 |