Atkin-Lehner |
2- 3+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119196c |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-155441340907776 = -1 · 28 · 39 · 72 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1431,-600210] |
[a1,a2,a3,a4,a6] |
Generators |
[846:24570:1] |
Generators of the group modulo torsion |
j |
-64314864/30848587 |
j-invariant |
L |
6.4987797895503 |
L(r)(E,1)/r! |
Ω |
0.25900249924488 |
Real period |
R |
4.1819286006243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119196e2 |
Quadratic twists by: -3 |