Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120r |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
21565440 = 212 · 34 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1760,-27840] |
[a1,a2,a3,a4,a6] |
j |
147281603041/5265 |
j-invariant |
L |
1.4741163178477 |
L(r)(E,1)/r! |
Ω |
0.73705815892386 |
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 |
195a1 12480cj1 9360bm1 15600bz1 |
Quadratic twists by: -4 8 -3 5 |