Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490cl |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
Δ |
-2.2547168504665E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1491345820,22167333306812] |
[a1,a2,a3,a4,a6] |
Generators |
[18284:996878:1] |
Generators of the group modulo torsion |
j |
-275600969228345132090733365051/169400214159764062500 |
j-invariant |
L |
14.670171243436 |
L(r)(E,1)/r! |
Ω |
0.082009630238459 |
Real period |
R |
0.31056166475748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83490y2 |
Quadratic twists by: -11 |