Atkin-Lehner |
2+ 3+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
24426a |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1020322872 = -1 · 23 · 33 · 23 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1497,22725] |
[a1,a2,a3,a4,a6] |
j |
-13746385708875/37789736 |
j-invariant |
L |
1.0427044451339 |
L(r)(E,1)/r! |
Ω |
1.5640566677006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24426i2 |
Quadratic twists by: -3 |