Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432be |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-48335616 = -1 · 28 · 36 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,-399] |
[a1,a2,a3,a4,a6] |
Generators |
[17:54:1] |
Generators of the group modulo torsion |
j |
-199794688/188811 |
j-invariant |
L |
2.3719002419384 |
L(r)(E,1)/r! |
Ω |
0.77495667467981 |
Real period |
R |
0.76517188619556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3108j1 49728eb1 37296ca1 87024ej1 |
Quadratic twists by: -4 8 -3 -7 |