Atkin-Lehner |
5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15275b |
Isogeny class |
Conductor |
15275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
121329325 = 52 · 133 · 472 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1873,31828] |
[a1,a2,a3,a4,a6] |
Generators |
[16:75:1] [28:23:1] |
Generators of the group modulo torsion |
j |
29082309099520/4853173 |
j-invariant |
L |
4.7233229018382 |
L(r)(E,1)/r! |
Ω |
1.8024309525756 |
Real period |
R |
1.3102645888015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15275e1 |
Quadratic twists by: 5 |