Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848x |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
-4487616 = -1 · 26 · 33 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[7:24:1] |
Generators of the group modulo torsion |
j |
3796416/2597 |
j-invariant |
L |
4.1843001922161 |
L(r)(E,1)/r! |
Ω |
1.3880239753567 |
Real period |
R |
1.5072867124705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848z1 106848a1 |
Quadratic twists by: -4 -3 |