Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160f |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
125465600 = 210 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-640,-6000] |
[a1,a2,a3,a4,a6] |
Generators |
[30:30:1] |
Generators of the group modulo torsion |
j |
28355811844/122525 |
j-invariant |
L |
8.7045164273583 |
L(r)(E,1)/r! |
Ω |
0.94931628526975 |
Real period |
R |
2.2923119940171 |
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 |
15080d2 120640cg2 |
Quadratic twists by: -4 8 |