Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20944n |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-842953275923562496 = -1 · 216 · 77 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11- 7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75179,-44880166] |
[a1,a2,a3,a4,a6] |
j |
-11472376678929153/205799139629776 |
j-invariant |
L |
1.6967609978189 |
L(r)(E,1)/r! |
Ω |
0.12119721412993 |
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 |
2618d1 83776bd1 |
Quadratic twists by: -4 8 |