Atkin-Lehner |
2+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520d |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
11959914982400 = 210 · 52 · 76 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11096,414304] |
[a1,a2,a3,a4,a6] |
Generators |
[12:532:1] |
Generators of the group modulo torsion |
j |
147557822866276/11679604475 |
j-invariant |
L |
3.5791312182156 |
L(r)(E,1)/r! |
Ω |
0.69806516081323 |
Real period |
R |
0.42726804258307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040d2 |
Quadratic twists by: -4 |