Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4332c |
Isogeny class |
Conductor |
4332 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-7336899233712 = -1 · 24 · 33 · 198 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,963,-129492] |
[a1,a2,a3,a4,a6] |
j |
131072/9747 |
j-invariant |
L |
3.1879790459133 |
L(r)(E,1)/r! |
Ω |
0.35421989399037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17328u1 69312s1 12996o1 108300m1 |
Quadratic twists by: -4 8 -3 5 |