Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
24400n |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-58107136000 = -1 · 211 · 53 · 613 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,632,10068] |
[a1,a2,a3,a4,a6] |
Generators |
[68:610:1] |
Generators of the group modulo torsion |
j |
108879878/226981 |
j-invariant |
L |
2.061343527652 |
L(r)(E,1)/r! |
Ω |
0.77066291259665 |
Real period |
R |
0.22289722847249 |
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 |
12200f1 97600cl1 24400m1 |
Quadratic twists by: -4 8 5 |