Atkin-Lehner |
2+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124270j |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1119744 |
Modular degree for the optimal curve |
Δ |
13054153444789760 = 29 · 5 · 179 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 4 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127214,-16544812] |
[a1,a2,a3,a4,a6] |
j |
9432717529689/540823040 |
j-invariant |
L |
1.0147917428185 |
L(r)(E,1)/r! |
Ω |
0.25369801274661 |
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 |
7310a1 |
Quadratic twists by: 17 |