Atkin-Lehner |
2+ 11+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
121264b |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
739648 |
Modular degree for the optimal curve |
Δ |
-74920725321728 = -1 · 211 · 11 · 137 · 53 |
Discriminant |
Eigenvalues |
2+ 1 -4 -3 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72080,-7484236] |
[a1,a2,a3,a4,a6] |
j |
-20222931876971042/36582385411 |
j-invariant |
L |
0.29134071789907 |
L(r)(E,1)/r! |
Ω |
0.1456693824694 |
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 |
60632d1 |
Quadratic twists by: -4 |