Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15180b |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
67034880 = 28 · 32 · 5 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-316,-2024] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] |
Generators of the group modulo torsion |
j |
13674725584/261855 |
j-invariant |
L |
4.0012898483498 |
L(r)(E,1)/r! |
Ω |
1.1333614850139 |
Real period |
R |
1.176820723502 |
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 |
60720cj2 45540w2 75900q2 |
Quadratic twists by: -4 -3 5 |