Atkin-Lehner |
5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15925q |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4878720 |
Modular degree for the optimal curve |
Δ |
-3.6421445526886E+22 |
Discriminant |
Eigenvalues |
1 -3 5+ 7- 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-301786942,-2017841448659] |
[a1,a2,a3,a4,a6] |
Generators |
[206268155533582910179142748:-245294477320082981114970970391:145955384014300825301] |
Generators of the group modulo torsion |
j |
-688691336801860161/8251953125 |
j-invariant |
L |
3.175899874098 |
L(r)(E,1)/r! |
Ω |
0.018111071104526 |
Real period |
R |
43.839205530262 |
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 |
3185c1 15925c1 |
Quadratic twists by: 5 -7 |