Atkin-Lehner |
5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15925s |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12600 |
Modular degree for the optimal curve |
Δ |
-46839008125 = -1 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ -3 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2680,-53728] |
[a1,a2,a3,a4,a6] |
Generators |
[10630:66209:125] |
Generators of the group modulo torsion |
j |
-590625/13 |
j-invariant |
L |
2.6381908777382 |
L(r)(E,1)/r! |
Ω |
0.33134681826502 |
Real period |
R |
7.9620226672226 |
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 |
15925a1 15925v1 |
Quadratic twists by: 5 -7 |