Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400a |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
192500000000 = 28 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -1 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12500,-537500] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:2:1] |
Generators of the group modulo torsion |
j |
86400000/77 |
j-invariant |
L |
4.1668955027045 |
L(r)(E,1)/r! |
Ω |
0.45153902120017 |
Real period |
R |
2.3070517203746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800k1 123200j1 15400v1 107800g1 |
Quadratic twists by: -4 8 5 -7 |