Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338h |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-2091640968 = -1 · 23 · 36 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 3 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500,-4705] |
[a1,a2,a3,a4,a6] |
j |
-18927429625/2869192 |
j-invariant |
L |
3.0041967731546 |
L(r)(E,1)/r! |
Ω |
0.50069946219243 |
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 |
2482d1 |
Quadratic twists by: -3 |