Atkin-Lehner |
2- 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920bj |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-12172258800 = -1 · 24 · 36 · 52 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183,-5393] |
[a1,a2,a3,a4,a6] |
Generators |
[21:5:1] [29:117:1] |
Generators of the group modulo torsion |
j |
-58107136/1043575 |
j-invariant |
L |
10.435747840919 |
L(r)(E,1)/r! |
Ω |
0.54559833161498 |
Real period |
R |
0.79696509594724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880i1 |
Quadratic twists by: -3 |