Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fe |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1564306425000000 = 26 · 39 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45005,3154997] |
[a1,a2,a3,a4,a6] |
j |
885012508801/137332800 |
j-invariant |
L |
5.4665681958076 |
L(r)(E,1)/r! |
Ω |
0.4555473471535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050bf1 16830q1 |
Quadratic twists by: -3 5 |