Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36848w |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
264126464 = 214 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,624] |
[a1,a2,a3,a4,a6] |
j |
493039/188 |
j-invariant |
L |
3.1826015659811 |
L(r)(E,1)/r! |
Ω |
1.5913007829879 |
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 |
4606d1 36848n1 |
Quadratic twists by: -4 -7 |