Atkin-Lehner |
2- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34850z |
Isogeny class |
Conductor |
34850 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
396000 |
Modular degree for the optimal curve |
Δ |
-151667200000000 = -1 · 215 · 58 · 172 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -6 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-397888,96571392] |
[a1,a2,a3,a4,a6] |
Generators |
[-448:13824:1] |
Generators of the group modulo torsion |
j |
-17833897643725345/388268032 |
j-invariant |
L |
3.802583287734 |
L(r)(E,1)/r! |
Ω |
0.53375706399119 |
Real period |
R |
0.71241835364186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34850h1 |
Quadratic twists by: 5 |