Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16614r |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-46435897404 = -1 · 22 · 311 · 13 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166,10293] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:807:8] |
Generators of the group modulo torsion |
j |
697864103/63698076 |
j-invariant |
L |
8.5364141440474 |
L(r)(E,1)/r! |
Ω |
0.86856838267947 |
Real period |
R |
2.4570357136744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5538d1 |
Quadratic twists by: -3 |