Atkin-Lehner |
2- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15340d |
Isogeny class |
Conductor |
15340 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3144 |
Modular degree for the optimal curve |
Δ |
-61360 = -1 · 24 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-265,-1752] |
[a1,a2,a3,a4,a6] |
j |
-129115734016/3835 |
j-invariant |
L |
1.7743614220425 |
L(r)(E,1)/r! |
Ω |
0.5914538073475 |
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 |
61360t1 76700a1 |
Quadratic twists by: -4 5 |