Atkin-Lehner |
2+ 3- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698j |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-1373501713786272 = -1 · 25 · 318 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1636416,-805321440] |
[a1,a2,a3,a4,a6] |
Generators |
[788315814198642435873:-269088640136482767905190:6784651563887231] |
Generators of the group modulo torsion |
j |
-664779294907165541377/1884090142368 |
j-invariant |
L |
4.6549543092326 |
L(r)(E,1)/r! |
Ω |
0.066741512346177 |
Real period |
R |
34.873005911884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566q1 |
Quadratic twists by: -3 |