Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192d |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-463186936576 = -1 · 28 · 77 · 133 |
Discriminant |
Eigenvalues |
2+ 0 1 7- -2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3332,-80948] |
[a1,a2,a3,a4,a6] |
j |
-135834624/15379 |
j-invariant |
L |
1.2488040577976 |
L(r)(E,1)/r! |
Ω |
0.31220101444941 |
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 |
5096h1 40768dh1 91728v1 1456d1 |
Quadratic twists by: -4 8 -3 -7 |