Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368ba |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
38926949200128 = 28 · 33 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9236,-160092] |
[a1,a2,a3,a4,a6] |
j |
192143824/85833 |
j-invariant |
L |
4.0614487306984 |
L(r)(E,1)/r! |
Ω |
0.50768109132692 |
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 |
98736bj1 4488b1 |
Quadratic twists by: -4 -11 |