Atkin-Lehner |
2- 3- 5+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630l |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
46942478008320000 = 220 · 3 · 54 · 193 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-247791,-46338375] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:461:1] |
Generators of the group modulo torsion |
j |
1682598148565342372209/46942478008320000 |
j-invariant |
L |
9.3003639016288 |
L(r)(E,1)/r! |
Ω |
0.21434745510963 |
Real period |
R |
2.1694598372702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890k1 |
Quadratic twists by: -3 |