Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5512b |
Isogeny class |
Conductor |
5512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
24219728 = 24 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[2178:35919:8] |
Generators of the group modulo torsion |
j |
2800908288/1513733 |
j-invariant |
L |
4.4093748630966 |
L(r)(E,1)/r! |
Ω |
1.734353410148 |
Real period |
R |
5.0847478227869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11024b1 44096a1 49608q1 71656g1 |
Quadratic twists by: -4 8 -3 13 |