Atkin-Lehner |
2- 3- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bs |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
818505308043730944 = 213 · 36 · 7 · 132 · 415 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 6 13- 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2539247,1557445367] |
[a1,a2,a3,a4,a6] |
Generators |
[895:618:1] |
Generators of the group modulo torsion |
j |
2483767085282493185449/1122778200334336 |
j-invariant |
L |
11.307576030704 |
L(r)(E,1)/r! |
Ω |
0.27808657713794 |
Real period |
R |
0.31278515843586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462c1 |
Quadratic twists by: -3 |