Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300q |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-3091200 = -1 · 28 · 3 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
327680/483 |
j-invariant |
L |
7.5185452903334 |
L(r)(E,1)/r! |
Ω |
1.3394469120638 |
Real period |
R |
1.8710571810441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300n1 |
Quadratic twists by: 5 |