Atkin-Lehner |
7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2597d |
Isogeny class |
Conductor |
2597 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-6235397 = -1 · 76 · 53 |
Discriminant |
Eigenvalues |
-1 3 0 7- 0 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15,-122] |
[a1,a2,a3,a4,a6] |
j |
3375/53 |
j-invariant |
L |
2.3291541630463 |
L(r)(E,1)/r! |
Ω |
1.1645770815232 |
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 |
41552bp1 23373f1 64925i1 53a1 |
Quadratic twists by: -4 -3 5 -7 |