Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
848f |
Isogeny class |
Conductor |
848 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-13568 = -1 · 28 · 53 |
Discriminant |
Eigenvalues |
2- 1 -2 2 -2 -7 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-35152/53 |
j-invariant |
L |
2.4421024255328 |
L(r)(E,1)/r! |
Ω |
1.5703419299926 |
Real period |
R |
1.555140558174 |
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 |
212a1 3392l1 7632h1 21200g1 |
Quadratic twists by: -4 8 -3 5 |