Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298x |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
230651013391524 = 22 · 38 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1012248,-391739540] |
[a1,a2,a3,a4,a6] |
Generators |
[757192:18392497:512] |
Generators of the group modulo torsion |
j |
88818021833113/178596 |
j-invariant |
L |
2.4963108062568 |
L(r)(E,1)/r! |
Ω |
0.15051433187214 |
Real period |
R |
8.2926016419098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bk1 8118m1 |
Quadratic twists by: -3 -11 |