Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384h |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-2148748865536 = -1 · 212 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 2 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-514957,142406181] |
[a1,a2,a3,a4,a6] |
j |
-91368216064/13 |
j-invariant |
L |
2.5724678406644 |
L(r)(E,1)/r! |
Ω |
0.6431169601661 |
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 |
20384l1 40768ec1 20384s1 |
Quadratic twists by: -4 8 -7 |