Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200bo |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3080025000000000000 = -1 · 212 · 36 · 514 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173633,88969137] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:10800:1] |
Generators of the group modulo torsion |
j |
-9045718037056/48125390625 |
j-invariant |
L |
4.7526400623675 |
L(r)(E,1)/r! |
Ω |
0.21893451721192 |
Real period |
R |
2.7135054598123 |
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 |
31200x2 62400ci1 93600bp2 6240r2 |
Quadratic twists by: -4 8 -3 5 |