Atkin-Lehner |
2- 3+ 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430u |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
97290000 = 24 · 32 · 54 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-236,-1411] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] |
Generators of the group modulo torsion |
j |
1454034564289/97290000 |
j-invariant |
L |
5.8533936437555 |
L(r)(E,1)/r! |
Ω |
1.2231632751539 |
Real period |
R |
1.1963639202255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290o1 |
Quadratic twists by: -3 |