Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16317c |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-4320089173354059 = -1 · 310 · 711 · 37 |
Discriminant |
Eigenvalues |
0 3- -1 7- 1 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3822,3161002] |
[a1,a2,a3,a4,a6] |
Generators |
[238:4189:1] |
Generators of the group modulo torsion |
j |
71991296/50370579 |
j-invariant |
L |
3.8671211222342 |
L(r)(E,1)/r! |
Ω |
0.34089810965374 |
Real period |
R |
2.8359801746643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5439a1 2331e1 |
Quadratic twists by: -3 -7 |