Atkin-Lehner |
5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15725f |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-2840328125 = -1 · 56 · 173 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 1 -5 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,270,-1978] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
139798359/181781 |
j-invariant |
L |
2.6265219102015 |
L(r)(E,1)/r! |
Ω |
0.76434546471003 |
Real period |
R |
1.1454340266579 |
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 |
629a1 |
Quadratic twists by: 5 |