Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bb |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
23643411509250000 = 24 · 316 · 56 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146550,20286875] |
[a1,a2,a3,a4,a6] |
Generators |
[3091:170586:1] |
Generators of the group modulo torsion |
j |
1909913257984/129730653 |
j-invariant |
L |
5.5769876664857 |
L(r)(E,1)/r! |
Ω |
0.37223367921553 |
Real period |
R |
2.4970817965033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23400bm1 15600h1 1872g1 |
Quadratic twists by: -4 -3 5 |