Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210bf |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1449502508046937500 = -1 · 22 · 37 · 56 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82102,57192581] |
[a1,a2,a3,a4,a6] |
Generators |
[36468:1069249:64] |
Generators of the group modulo torsion |
j |
17394111071/411937500 |
j-invariant |
L |
6.4654401439587 |
L(r)(E,1)/r! |
Ω |
0.20184717839031 |
Real period |
R |
4.0039203145663 |
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 |
121680dl3 5070k3 76050bh3 1170g3 |
Quadratic twists by: -4 -3 5 13 |