Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600h |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3480000000 = 29 · 3 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116008,15247012] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:4550:1] [152:1050:1] |
Generators of the group modulo torsion |
j |
21582477031688/435 |
j-invariant |
L |
8.9922710236859 |
L(r)(E,1)/r! |
Ω |
1.0139550895257 |
Real period |
R |
4.434255085142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600br4 13920bg3 |
Quadratic twists by: -4 5 |