Atkin-Lehner |
2- 3- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214be |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
38064040752192 = 26 · 3 · 76 · 134 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104404,12972368] |
[a1,a2,a3,a4,a6] |
Generators |
[4674:5944:27] |
Generators of the group modulo torsion |
j |
125856423485551515457/38064040752192 |
j-invariant |
L |
9.004659547501 |
L(r)(E,1)/r! |
Ω |
0.63454501495316 |
Real period |
R |
0.78837411367416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96642y1 |
Quadratic twists by: -3 |