Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200cf |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
37000000 = 26 · 56 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -1 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83,37] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] [12:25:1] |
Generators of the group modulo torsion |
j |
64000/37 |
j-invariant |
L |
8.0871483894827 |
L(r)(E,1)/r! |
Ω |
1.7430347201532 |
Real period |
R |
2.3198471883479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200by1 29600s1 2368m1 |
Quadratic twists by: -4 8 5 |