Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080du |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2614689720000 = -1 · 26 · 313 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 1 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2832,-51842] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1215:1] |
Generators of the group modulo torsion |
j |
53838872576/56041875 |
j-invariant |
L |
6.7243649795538 |
L(r)(E,1)/r! |
Ω |
0.43955670881618 |
Real period |
R |
1.9122575126668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080u1 29520bu1 39360cz1 |
Quadratic twists by: -4 8 -3 |