Atkin-Lehner |
3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15075c |
Isogeny class |
Conductor |
15075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-19079296875 = -1 · 36 · 58 · 67 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 2 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-450,-7594] |
[a1,a2,a3,a4,a6] |
j |
-884736/1675 |
j-invariant |
L |
1.9519452408082 |
L(r)(E,1)/r! |
Ω |
0.48798631020205 |
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 |
1675a1 3015b1 |
Quadratic twists by: -3 5 |