Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960cb |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-118972800000 = -1 · 210 · 37 · 55 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,16648] |
[a1,a2,a3,a4,a6] |
Generators |
[77:675:1] |
Generators of the group modulo torsion |
j |
-1755904/159375 |
j-invariant |
L |
5.9351604602195 |
L(r)(E,1)/r! |
Ω |
0.86274378131724 |
Real period |
R |
3.4397005163836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960et1 3060o1 16320bi1 |
Quadratic twists by: -4 8 -3 |