Atkin-Lehner |
2- 3- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62730w |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
20399314233600 = 28 · 38 · 52 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10328,343131] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:777:1] |
Generators of the group modulo torsion |
j |
167111158096441/27982598400 |
j-invariant |
L |
9.0351797714688 |
L(r)(E,1)/r! |
Ω |
0.65211252024908 |
Real period |
R |
0.86595291177713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20910e2 |
Quadratic twists by: -3 |