Atkin-Lehner |
2+ 3- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814o |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
105645551399571456 = 212 · 38 · 72 · 134 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-231876,-39972528] |
[a1,a2,a3,a4,a6] |
Generators |
[1371:46407:1] |
Generators of the group modulo torsion |
j |
1891318353989553217/144918451851264 |
j-invariant |
L |
5.9642984804697 |
L(r)(E,1)/r! |
Ω |
0.21861839904227 |
Real period |
R |
3.4102221655576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979348 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28938s2 |
Quadratic twists by: -3 |