Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160i |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
432853216206894080 = 210 · 5 · 132 · 298 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-253787,-37678054] |
[a1,a2,a3,a4,a6] |
j |
1765354266451555524/422708218952045 |
j-invariant |
L |
3.4624740088814 |
L(r)(E,1)/r! |
Ω |
0.21640462555491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15080e3 120640bt4 |
Quadratic twists by: -4 8 |