Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200bq |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
585000000000 = 29 · 32 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31408,-2131688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2733:316:27] |
Generators of the group modulo torsion |
j |
428320044872/73125 |
j-invariant |
L |
3.8826414634115 |
L(r)(E,1)/r! |
Ω |
0.35862683299866 |
Real period |
R |
5.4132054633877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31200cg4 62400gu4 93600bx4 6240k2 |
Quadratic twists by: -4 8 -3 5 |