Atkin-Lehner |
2- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2542a |
Isogeny class |
Conductor |
2542 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2464 |
Modular degree for the optimal curve |
Δ |
-218569375744 = -1 · 222 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 2 2 0 6 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,403,-22109] |
[a1,a2,a3,a4,a6] |
j |
7237215346607/218569375744 |
j-invariant |
L |
5.2905575803062 |
L(r)(E,1)/r! |
Ω |
0.48095978002783 |
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 |
20336c1 81344c1 22878c1 63550b1 |
Quadratic twists by: -4 8 -3 5 |