Atkin-Lehner |
3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15939d |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-2259778008411 = -1 · 312 · 75 · 11 · 23 |
Discriminant |
Eigenvalues |
-2 3- 1 7+ 11+ 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3273,6048] |
[a1,a2,a3,a4,a6] |
j |
5319051554816/3099832659 |
j-invariant |
L |
0.99085604828887 |
L(r)(E,1)/r! |
Ω |
0.49542802414443 |
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 |
5313d1 111573z1 |
Quadratic twists by: -3 -7 |