Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31900f |
Isogeny class |
Conductor |
31900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13586848000 = -1 · 28 · 53 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,1752] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2370:1] |
Generators of the group modulo torsion |
j |
645657712/424589 |
j-invariant |
L |
6.9833244086499 |
L(r)(E,1)/r! |
Ω |
0.78690945937323 |
Real period |
R |
4.4371841801291 |
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 |
127600bp2 31900g2 |
Quadratic twists by: -4 5 |