Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bt |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
191488 |
Modular degree for the optimal curve |
Δ |
-1821509782993920 = -1 · 210 · 3 · 5 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11464,-1994496] |
[a1,a2,a3,a4,a6] |
Generators |
[30342712504751520:-3561593093783859232:2202581720331] |
Generators of the group modulo torsion |
j |
1372/15 |
j-invariant |
L |
5.3651697635239 |
L(r)(E,1)/r! |
Ω |
0.2313202587513 |
Real period |
R |
23.193687368697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360h1 104040bk1 34680bm1 |
Quadratic twists by: -4 -3 17 |