Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350n |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
34486256250000 = 24 · 38 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8251,57398] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:581:1] |
Generators of the group modulo torsion |
j |
3975097468321/2207120400 |
j-invariant |
L |
2.9492588049545 |
L(r)(E,1)/r! |
Ω |
0.5666547453716 |
Real period |
R |
0.65058548195437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34800cf2 13050bf2 870g2 126150cd2 |
Quadratic twists by: -4 -3 5 29 |