Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15925c |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-309577178955078125 = -1 · 517 · 74 · 132 |
Discriminant |
Eigenvalues |
1 3 5+ 7+ 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6158917,5884679366] |
[a1,a2,a3,a4,a6] |
Generators |
[46758:523496:27] |
Generators of the group modulo torsion |
j |
-688691336801860161/8251953125 |
j-invariant |
L |
9.8797553423513 |
L(r)(E,1)/r! |
Ω |
0.2782049473219 |
Real period |
R |
1.479687822092 |
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 |
3185g1 15925q1 |
Quadratic twists by: 5 -7 |