Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bj |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7768780800 = 212 · 3 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 11+ -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10228,-402379] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:33:1] |
Generators of the group modulo torsion |
j |
4733239883626345/310751232 |
j-invariant |
L |
4.8896083664956 |
L(r)(E,1)/r! |
Ω |
0.4747373098877 |
Real period |
R |
0.85830069680227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94050bq2 31350y2 |
Quadratic twists by: -3 5 |