Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15925a |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
63000 |
Modular degree for the optimal curve |
Δ |
-731859501953125 = -1 · 510 · 78 · 13 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ -3 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66992,-6782959] |
[a1,a2,a3,a4,a6] |
Generators |
[21167480:74987949:68921] |
Generators of the group modulo torsion |
j |
-590625/13 |
j-invariant |
L |
4.8709758319883 |
L(r)(E,1)/r! |
Ω |
0.14818280195377 |
Real period |
R |
10.957132604155 |
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 |
15925s1 15925o1 |
Quadratic twists by: 5 -7 |