Atkin-Lehner |
2+ 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150c |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4720815000000 = 26 · 33 · 57 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128292,-17654384] |
[a1,a2,a3,a4,a6] |
j |
553529221679043/11190080 |
j-invariant |
L |
2.0180876427612 |
L(r)(E,1)/r! |
Ω |
0.25226095113707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150ee2 16830bm2 |
Quadratic twists by: -3 5 |