Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520cl |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13423134187192320 = 224 · 38 · 5 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1458732,678104624] |
[a1,a2,a3,a4,a6] |
Generators |
[469:9855:1] |
Generators of the group modulo torsion |
j |
1796316223281481/70240320 |
j-invariant |
L |
6.7415833093075 |
L(r)(E,1)/r! |
Ω |
0.37293299407862 |
Real period |
R |
4.519299320974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fy3 2610l3 27840r3 |
Quadratic twists by: -4 8 -3 |