Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152n |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-22638590042112 = -1 · 213 · 38 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17352,-903312] |
[a1,a2,a3,a4,a6] |
Generators |
[428:8360:1] |
Generators of the group modulo torsion |
j |
-141070891029193/5526999522 |
j-invariant |
L |
5.751192867881 |
L(r)(E,1)/r! |
Ω |
0.20750740198942 |
Real period |
R |
3.4644504320947 |
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 |
3894g2 124608di2 93456bt2 |
Quadratic twists by: -4 8 -3 |