Atkin-Lehner |
2- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330y |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
-5606209800425000 = -1 · 23 · 55 · 13 · 297 |
Discriminant |
Eigenvalues |
2- -1 5- 4 -4 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-452055,-117230123] |
[a1,a2,a3,a4,a6] |
j |
-17175508997401/9425000 |
j-invariant |
L |
2.7617135905728 |
L(r)(E,1)/r! |
Ω |
0.092057132024858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3770c1 |
Quadratic twists by: 29 |