Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736fp |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
23188358592 = 26 · 38 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2631,-51424] |
[a1,a2,a3,a4,a6] |
Generators |
[68:290:1] |
Generators of the group modulo torsion |
j |
43169672512/497007 |
j-invariant |
L |
6.1108470663024 |
L(r)(E,1)/r! |
Ω |
0.66707021843283 |
Real period |
R |
4.5803626765209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736ea1 46368y3 30912bn1 |
Quadratic twists by: -4 8 -3 |