Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156bc |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-18465102786816 = -1 · 28 · 36 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1911,209230] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:490:1] |
Generators of the group modulo torsion |
j |
-35152/841 |
j-invariant |
L |
5.9594343239347 |
L(r)(E,1)/r! |
Ω |
0.5774565166231 |
Real period |
R |
1.7200239765196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5684g2 1044h2 |
Quadratic twists by: -3 -7 |