Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730y |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
46060586000 = 24 · 53 · 116 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3935,-94775] |
[a1,a2,a3,a4,a6] |
j |
3803721481/26000 |
j-invariant |
L |
3.6182030606186 |
L(r)(E,1)/r! |
Ω |
0.60303384343643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125840ck1 78650u1 130a1 |
Quadratic twists by: -4 5 -11 |