Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47320i |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
292357890406400 = 211 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54136,-4759860] |
[a1,a2,a3,a4,a6] |
j |
1775007362/29575 |
j-invariant |
L |
2.5064333222584 |
L(r)(E,1)/r! |
Ω |
0.31330416534218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640d2 3640i2 |
Quadratic twists by: -4 13 |