Atkin-Lehner |
2+ 3+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33630c |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
29138466529687500 = 22 · 34 · 58 · 19 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-78157,1778689] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:16043:8] |
Generators of the group modulo torsion |
j |
52800257104414971481/29138466529687500 |
j-invariant |
L |
3.9668612557144 |
L(r)(E,1)/r! |
Ω |
0.32373522870315 |
Real period |
R |
1.5316765461412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100890q4 |
Quadratic twists by: -3 |