Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864w |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
759764141381952 = 26 · 314 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62434,5835500] |
[a1,a2,a3,a4,a6] |
Generators |
[233:-1998:1] [-118:3402:1] |
Generators of the group modulo torsion |
j |
420546646634696128/11871314709093 |
j-invariant |
L |
8.0739009735588 |
L(r)(E,1)/r! |
Ω |
0.50336951125471 |
Real period |
R |
0.38189785667887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24864t1 49728cv2 74592j1 |
Quadratic twists by: -4 8 -3 |