Atkin-Lehner |
2+ 7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120176h |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-4953698944768 = -1 · 28 · 75 · 292 · 372 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4172,-25284] |
[a1,a2,a3,a4,a6] |
Generators |
[35:406:1] [70:784:1] |
Generators of the group modulo torsion |
j |
31362635054000/19350386503 |
j-invariant |
L |
8.5697667231916 |
L(r)(E,1)/r! |
Ω |
0.44405181440268 |
Real period |
R |
1.9299024234055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60088d1 |
Quadratic twists by: -4 |