Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26040i |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
12499200 = 28 · 32 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16276,804676] |
[a1,a2,a3,a4,a6] |
j |
1862745286828624/48825 |
j-invariant |
L |
1.6390565147224 |
L(r)(E,1)/r! |
Ω |
1.6390565147224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080o1 78120j1 |
Quadratic twists by: -4 -3 |