Atkin-Lehner |
2- 3- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574x |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
8993290804872192 = 210 · 37 · 73 · 133 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-416876,-103394833] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:493:1] |
Generators of the group modulo torsion |
j |
10990460412448933753/12336475726848 |
j-invariant |
L |
9.3942103818134 |
L(r)(E,1)/r! |
Ω |
0.18790017414142 |
Real period |
R |
2.4997875494714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39858f1 |
Quadratic twists by: -3 |