Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
848a |
Isogeny class |
Conductor |
848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-3473408 = -1 · 216 · 53 |
Discriminant |
Eigenvalues |
2- 1 -4 0 4 1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-556] |
[a1,a2,a3,a4,a6] |
j |
-47045881/848 |
j-invariant |
L |
1.4399209433377 |
L(r)(E,1)/r! |
Ω |
0.71996047166884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106b1 3392q1 7632r1 21200q1 |
Quadratic twists by: -4 8 -3 5 |