Atkin-Lehner |
3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30015b |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3184701711328125 = 312 · 58 · 232 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1012073,392134956] |
[a1,a2,a3,a4,a6] |
Generators |
[573:35:1] |
Generators of the group modulo torsion |
j |
157264717208387436361/4368589453125 |
j-invariant |
L |
2.6186821528672 |
L(r)(E,1)/r! |
Ω |
0.41681302111704 |
Real period |
R |
3.1413151943397 |
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 |
10005g2 |
Quadratic twists by: -3 |