Atkin-Lehner |
2+ 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120a |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-58278608640 = -1 · 28 · 32 · 5 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,804,-7884] |
[a1,a2,a3,a4,a6] |
Generators |
[34:240:1] |
Generators of the group modulo torsion |
j |
224239240496/227650815 |
j-invariant |
L |
3.9480142397664 |
L(r)(E,1)/r! |
Ω |
0.60467176557733 |
Real period |
R |
3.2645928456713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240v2 108360bo2 |
Quadratic twists by: -4 -3 |