Atkin-Lehner |
2- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24440f |
Isogeny class |
Conductor |
24440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-3910400 = -1 · 28 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81,325] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
-232428544/15275 |
j-invariant |
L |
4.4997336112533 |
L(r)(E,1)/r! |
Ω |
2.4392251981368 |
Real period |
R |
0.46118472524496 |
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 |
48880b1 122200g1 |
Quadratic twists by: -4 5 |