Atkin-Lehner |
11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15059c |
Isogeny class |
Conductor |
15059 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2052 |
Modular degree for the optimal curve |
Δ |
-1822139 = -1 · 113 · 372 |
Discriminant |
Eigenvalues |
0 1 3 2 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-49,-165] |
[a1,a2,a3,a4,a6] |
j |
-9699328/1331 |
j-invariant |
L |
2.6816700050414 |
L(r)(E,1)/r! |
Ω |
0.89389000168048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15059d1 |
Quadratic twists by: 37 |