Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785k |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
108037752946695 = 38 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318555,69280866] |
[a1,a2,a3,a4,a6] |
Generators |
[322:-40:1] |
Generators of the group modulo torsion |
j |
2768178670921/83655 |
j-invariant |
L |
4.9827830195561 |
L(r)(E,1)/r! |
Ω |
0.55378357509952 |
Real period |
R |
1.124713526162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595p2 6435k2 |
Quadratic twists by: -3 -11 |