Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57960by |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
88163085830400 = 28 · 312 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37407,-2747806] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:182:1] |
Generators of the group modulo torsion |
j |
31018076123344/472410225 |
j-invariant |
L |
7.1314708738929 |
L(r)(E,1)/r! |
Ω |
0.3436070608426 |
Real period |
R |
2.594340922654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997732 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115920bs2 19320a2 |
Quadratic twists by: -4 -3 |