Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810m |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-497730296963800 = -1 · 23 · 52 · 597 |
Discriminant |
Eigenvalues |
2- 0 5- 1 5 7 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2828,-1072529] |
[a1,a2,a3,a4,a6] |
j |
59319/11800 |
j-invariant |
L |
5.9199045179328 |
L(r)(E,1)/r! |
Ω |
0.24666268824709 |
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 |
590c1 |
Quadratic twists by: -59 |