Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040cd |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-71792854228080 = -1 · 24 · 37 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42483,3394883] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:2601:1] |
Generators of the group modulo torsion |
j |
-30118144/255 |
j-invariant |
L |
7.1275612502023 |
L(r)(E,1)/r! |
Ω |
0.61815723653675 |
Real period |
R |
0.36032303201024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999704058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680i1 6120x1 |
Quadratic twists by: -3 17 |