Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848ba |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-60643344384 = -1 · 221 · 35 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2401,-47617] |
[a1,a2,a3,a4,a6] |
Generators |
[83:576:1] |
Generators of the group modulo torsion |
j |
-5841725401/231336 |
j-invariant |
L |
5.4385103166166 |
L(r)(E,1)/r! |
Ω |
0.34021188423841 |
Real period |
R |
0.79928282470071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22848cg1 714b1 68544y1 |
Quadratic twists by: -4 8 -3 |