Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480z |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-112320 = -1 · 26 · 33 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 1 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31,59] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-53157376/1755 |
j-invariant |
L |
5.1617038312404 |
L(r)(E,1)/r! |
Ω |
3.3151650267731 |
Real period |
R |
0.51899918400791 |
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 |
12480g1 6240w1 37440co1 62400d1 |
Quadratic twists by: -4 8 -3 5 |