Atkin-Lehner |
2- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2146c |
Isogeny class |
Conductor |
2146 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
272 |
Modular degree for the optimal curve |
Δ |
274688 = 28 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 2 2 0 2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17,-17] |
[a1,a2,a3,a4,a6] |
j |
545338513/274688 |
j-invariant |
L |
4.9559817560052 |
L(r)(E,1)/r! |
Ω |
2.4779908780026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17168g1 68672o1 19314f1 53650d1 |
Quadratic twists by: -4 8 -3 5 |