Atkin-Lehner |
2+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34888c |
Isogeny class |
Conductor |
34888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-525380903936 = -1 · 210 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- 4 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1421,28126] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-196:1] [119:1372:1] |
Generators of the group modulo torsion |
j |
2634012/4361 |
j-invariant |
L |
4.9251998384259 |
L(r)(E,1)/r! |
Ω |
0.63316382832495 |
Real period |
R |
0.97233915183024 |
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 |
69776e1 4984a1 |
Quadratic twists by: -4 -7 |