Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200c |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1369000000 = -1 · 26 · 56 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,2500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:50:1] |
Generators of the group modulo torsion |
j |
-2299968/1369 |
j-invariant |
L |
3.964416490752 |
L(r)(E,1)/r! |
Ω |
1.4094274018395 |
Real period |
R |
1.4063925837892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200b1 29600b2 2368d1 |
Quadratic twists by: -4 8 5 |