Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152i |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
53830656 = 210 · 34 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,900] |
[a1,a2,a3,a4,a6] |
Generators |
[0:30:1] |
Generators of the group modulo torsion |
j |
768400132/52569 |
j-invariant |
L |
8.4555649971895 |
L(r)(E,1)/r! |
Ω |
1.9541952838492 |
Real period |
R |
1.0817195531931 |
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 |
15576a1 124608cn1 93456m1 |
Quadratic twists by: -4 8 -3 |