Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15925v |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1800 |
Modular degree for the optimal curve |
Δ |
-398125 = -1 · 54 · 72 · 13 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -3 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55,172] |
[a1,a2,a3,a4,a6] |
Generators |
[4:0:1] |
Generators of the group modulo torsion |
j |
-590625/13 |
j-invariant |
L |
2.245302226758 |
L(r)(E,1)/r! |
Ω |
2.9970350828797 |
Real period |
R |
0.24972482966961 |
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 |
15925o1 15925s1 |
Quadratic twists by: 5 -7 |