Atkin-Lehner |
2+ 3+ 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430b |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
39168005422500 = 22 · 38 · 54 · 23 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51098,-4456992] |
[a1,a2,a3,a4,a6] |
Generators |
[-46473:38424:343] |
Generators of the group modulo torsion |
j |
14755322226515416489/39168005422500 |
j-invariant |
L |
4.0873654124929 |
L(r)(E,1)/r! |
Ω |
0.31758995600973 |
Real period |
R |
6.4349727300052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290br1 |
Quadratic twists by: -3 |