Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160cp |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-108815286988800 = -1 · 212 · 34 · 52 · 7 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2576,-505260] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1110:1] |
Generators of the group modulo torsion |
j |
-461710681489/26566232175 |
j-invariant |
L |
7.322432297042 |
L(r)(E,1)/r! |
Ω |
0.26103037298725 |
Real period |
R |
0.87662599057043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3885a1 |
Quadratic twists by: -4 |