Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22984f |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
173388485236259072 = 28 · 1310 · 173 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 2 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-238684,-40243488] |
[a1,a2,a3,a4,a6] |
j |
1217013440848/140320193 |
j-invariant |
L |
1.3057085137308 |
L(r)(E,1)/r! |
Ω |
0.2176180856218 |
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 |
45968g1 1768d1 |
Quadratic twists by: -4 13 |