Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bj |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-36010967040 = -1 · 214 · 38 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,717,5362] |
[a1,a2,a3,a4,a6] |
Generators |
[9:112:1] |
Generators of the group modulo torsion |
j |
13651919/12060 |
j-invariant |
L |
5.5398909200252 |
L(r)(E,1)/r! |
Ω |
0.75438272982025 |
Real period |
R |
1.8359019569988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030h1 16080v1 |
Quadratic twists by: -4 -3 |