Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680dn |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-775112083256000 = -1 · 26 · 53 · 713 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18195,1633043] |
[a1,a2,a3,a4,a6] |
j |
-88478050816/102942875 |
j-invariant |
L |
2.7422662106989 |
L(r)(E,1)/r! |
Ω |
0.45704436844982 |
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 |
15680dq1 7840e1 78400hz1 2240q1 |
Quadratic twists by: -4 8 5 -7 |