Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568ck |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-358443491328 = -1 · 213 · 311 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 3 1 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10947,-441790] |
[a1,a2,a3,a4,a6] |
Generators |
[121:72:1] |
Generators of the group modulo torsion |
j |
-48587168449/120042 |
j-invariant |
L |
4.746438129317 |
L(r)(E,1)/r! |
Ω |
0.23333586668571 |
Real period |
R |
2.5427071053927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4446i1 11856ba1 |
Quadratic twists by: -4 -3 |