Atkin-Lehner |
2+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53360c |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
98182400 = 28 · 52 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -6 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116,-116] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:12:1] [-6:20:1] |
Generators of the group modulo torsion |
j |
680136784/383525 |
j-invariant |
L |
6.1226889451254 |
L(r)(E,1)/r! |
Ω |
1.5656521768548 |
Real period |
R |
1.9553158216221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26680c2 |
Quadratic twists by: -4 |