Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350m |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7884375000 = 23 · 3 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3276,-72302] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:17:1] |
Generators of the group modulo torsion |
j |
248739515569/504600 |
j-invariant |
L |
3.4084095770023 |
L(r)(E,1)/r! |
Ω |
0.63114971799933 |
Real period |
R |
2.7001593122838 |
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 |
34800ca2 13050be2 870e2 126150bx2 |
Quadratic twists by: -4 -3 5 29 |