Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13920h |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
156600000000 = 29 · 33 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8560,-301400] |
[a1,a2,a3,a4,a6] |
Generators |
[2010:29225:8] |
Generators of the group modulo torsion |
j |
135495783169928/305859375 |
j-invariant |
L |
4.656470790044 |
L(r)(E,1)/r! |
Ω |
0.49640459253725 |
Real period |
R |
4.6901971295668 |
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 |
13920bh3 27840bm4 41760v4 69600bv4 |
Quadratic twists by: -4 8 -3 5 |