Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fe |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-33806080000000 = -1 · 214 · 57 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4700,-306000] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1456:1] |
Generators of the group modulo torsion |
j |
-44851536/132055 |
j-invariant |
L |
5.1821087962186 |
L(r)(E,1)/r! |
Ω |
0.26671042172231 |
Real period |
R |
2.4287150184786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999887391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200l1 30800l1 24640z1 |
Quadratic twists by: -4 8 5 |