Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7728j |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-142442496 = -1 · 215 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48,-576] |
[a1,a2,a3,a4,a6] |
Generators |
[8:16:1] |
Generators of the group modulo torsion |
j |
2924207/34776 |
j-invariant |
L |
2.6834476233352 |
L(r)(E,1)/r! |
Ω |
0.90279889279001 |
Real period |
R |
0.74309119250311 |
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 |
966k1 30912cd1 23184bk1 54096di1 |
Quadratic twists by: -4 8 -3 -7 |