Atkin-Lehner |
5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15275c |
Isogeny class |
Conductor |
15275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-149169921875 = -1 · 512 · 13 · 47 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 -3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1117,11418] |
[a1,a2,a3,a4,a6] |
Generators |
[12:162:1] [132:1562:1] |
Generators of the group modulo torsion |
j |
9855401984/9546875 |
j-invariant |
L |
4.6380685715887 |
L(r)(E,1)/r! |
Ω |
0.67608993599885 |
Real period |
R |
1.7150338751664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3055b1 |
Quadratic twists by: 5 |