Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520de |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7306329600000000 = 215 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308172,65718736] |
[a1,a2,a3,a4,a6] |
j |
135495783169928/305859375 |
j-invariant |
L |
3.3542986481345 |
L(r)(E,1)/r! |
Ω |
0.41928733904022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83520dh4 41760v4 27840bm4 |
Quadratic twists by: -4 8 -3 |