Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7644c |
Isogeny class |
Conductor |
7644 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3787889322672 = -1 · 24 · 35 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2483,-81458] |
[a1,a2,a3,a4,a6] |
j |
899022848/2012283 |
j-invariant |
L |
2.445895688855 |
L(r)(E,1)/r! |
Ω |
0.40764928147584 |
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 |
30576cz1 122304dj1 22932y1 1092e1 |
Quadratic twists by: -4 8 -3 -7 |