Atkin-Lehner |
2- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
83582o |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1537536 |
Modular degree for the optimal curve |
Δ |
101360727444668416 = 214 · 238 · 79 |
Discriminant |
Eigenvalues |
2- -1 3 5 6 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141254,13465539] |
[a1,a2,a3,a4,a6] |
j |
2105518942513/684703744 |
j-invariant |
L |
8.6843688057323 |
L(r)(E,1)/r! |
Ω |
0.31015602924022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3634d1 |
Quadratic twists by: -23 |