Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bm |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
15721205760 = 212 · 310 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15843,767522] |
[a1,a2,a3,a4,a6] |
j |
147281603041/5265 |
j-invariant |
L |
2.3225926882228 |
L(r)(E,1)/r! |
Ω |
1.1612963441114 |
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 |
585f1 37440ex1 3120r1 46800cw1 |
Quadratic twists by: -4 8 -3 5 |