Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
14608c |
Isogeny class |
Conductor |
14608 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-54752186368 = -1 · 212 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 0 0 1 11- 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1835,32282] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:242:1] |
Generators of the group modulo torsion |
j |
-166829162625/13367233 |
j-invariant |
L |
4.7991047706367 |
L(r)(E,1)/r! |
Ω |
1.0965494224023 |
Real period |
R |
0.43765512731044 |
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 |
913a1 58432j1 |
Quadratic twists by: -4 8 |