Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152k |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
14655396096 = 28 · 36 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26212,-1642180] |
[a1,a2,a3,a4,a6] |
Generators |
[206:1320:1] |
Generators of the group modulo torsion |
j |
7780379718733648/57247641 |
j-invariant |
L |
8.4283126825228 |
L(r)(E,1)/r! |
Ω |
0.37520906807312 |
Real period |
R |
2.4958863381321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15576f1 124608ce1 93456k1 |
Quadratic twists by: -4 8 -3 |