Atkin-Lehner |
2+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
68890c |
Isogeny class |
Conductor |
68890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2204160 |
Modular degree for the optimal curve |
Δ |
-694682905334451200 = -1 · 210 · 52 · 837 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 3 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22820,-40084400] |
[a1,a2,a3,a4,a6] |
Generators |
[685:-17565:1] [600:13460:1] |
Generators of the group modulo torsion |
j |
4019679/2124800 |
j-invariant |
L |
4.4470577597328 |
L(r)(E,1)/r! |
Ω |
0.13389511623272 |
Real period |
R |
2.0758121566189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
830c1 |
Quadratic twists by: -83 |