Atkin-Lehner |
5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15275d |
Isogeny class |
Conductor |
15275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-9546875 = -1 · 56 · 13 · 47 |
Discriminant |
Eigenvalues |
-2 -3 5+ -2 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25,156] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] [0:12:1] |
Generators of the group modulo torsion |
j |
-110592/611 |
j-invariant |
L |
2.14193001924 |
L(r)(E,1)/r! |
Ω |
1.9904470022507 |
Real period |
R |
0.26902625601372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
611a1 |
Quadratic twists by: 5 |