Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fg |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
271580976562500 = 22 · 37 · 510 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99230,12029897] |
[a1,a2,a3,a4,a6] |
j |
9486391169809/23842500 |
j-invariant |
L |
2.2080354493407 |
L(r)(E,1)/r! |
Ω |
0.55200886949675 |
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 |
28050bh1 16830y1 |
Quadratic twists by: -3 5 |