Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152bg |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.8532736255828E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,819808,900459252] |
[a1,a2,a3,a4,a6] |
Generators |
[34892:40414410:1331] |
Generators of the group modulo torsion |
j |
14876463137223919967/94074063124580352 |
j-invariant |
L |
8.0368672653287 |
L(r)(E,1)/r! |
Ω |
0.12255928512327 |
Real period |
R |
5.4646119884249 |
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 |
3894h2 124608ca2 93456bd2 |
Quadratic twists by: -4 8 -3 |