Atkin-Lehner |
2- 5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360l |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
309477344720 = 24 · 5 · 372 · 414 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1721,6836] |
[a1,a2,a3,a4,a6] |
j |
35253209841664/19342334045 |
j-invariant |
L |
0.84210153745292 |
L(r)(E,1)/r! |
Ω |
0.84210165542956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30340a1 |
Quadratic twists by: -4 |