Atkin-Lehner |
2- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7696d |
Isogeny class |
Conductor |
7696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
31522816 = 216 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 2 -6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139,570] |
[a1,a2,a3,a4,a6] |
j |
72511713/7696 |
j-invariant |
L |
2.0199895782758 |
L(r)(E,1)/r! |
Ω |
2.0199895782758 |
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 |
962a1 30784j1 69264bd1 100048f1 |
Quadratic twists by: -4 8 -3 13 |