Atkin-Lehner |
2- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39100b |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
350784 |
Modular degree for the optimal curve |
Δ |
-4039824218750000 = -1 · 24 · 513 · 17 · 233 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 5 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39800,107125] |
[a1,a2,a3,a4,a6] |
j |
27888998547456/16159296875 |
j-invariant |
L |
0.5274510259764 |
L(r)(E,1)/r! |
Ω |
0.26372551298397 |
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 |
7820a1 |
Quadratic twists by: 5 |