Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440cw |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47254753280000 = 215 · 54 · 74 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24641,-1459841] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:175:1] |
Generators of the group modulo torsion |
j |
50497094229128/1442100625 |
j-invariant |
L |
3.9710587581385 |
L(r)(E,1)/r! |
Ω |
0.38171699051523 |
Real period |
R |
1.30039363494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440cn2 34720bb2 |
Quadratic twists by: -4 8 |