Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
2626d |
Isogeny class |
Conductor |
2626 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-908890112 = -1 · 212 · 133 · 101 |
Discriminant |
Eigenvalues |
2- 1 2 -2 4 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2492,-48112] |
[a1,a2,a3,a4,a6] |
j |
-1711507151858113/908890112 |
j-invariant |
L |
4.054142919634 |
L(r)(E,1)/r! |
Ω |
0.33784524330284 |
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 |
21008c1 84032l1 23634e1 65650f1 |
Quadratic twists by: -4 8 -3 5 |