Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109820p |
Isogeny class |
Conductor |
109820 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
-83463200000 = -1 · 28 · 55 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3 5- 1 2 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233767,43503374] |
[a1,a2,a3,a4,a6] |
j |
-19095696977947344/1128125 |
j-invariant |
L |
8.1386964062632 |
L(r)(E,1)/r! |
Ω |
0.81386963795211 |
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 |
109820e1 |
Quadratic twists by: 17 |