Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200bn |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60840000000 = 29 · 32 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,-2988] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:50:1] |
Generators of the group modulo torsion |
j |
14172488/7605 |
j-invariant |
L |
5.0410539383831 |
L(r)(E,1)/r! |
Ω |
0.90149406967201 |
Real period |
R |
1.3979720188889 |
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 |
31200ce2 62400gi2 93600bn2 6240q2 |
Quadratic twists by: -4 8 -3 5 |