Atkin-Lehner |
2+ 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150f |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1098662400000000 = 215 · 33 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144179067,666384554341] |
[a1,a2,a3,a4,a6] |
j |
785681552361835673854227/2604236800 |
j-invariant |
L |
0.92475214245554 |
L(r)(E,1)/r! |
Ω |
0.23118804344352 |
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 |
84150eh4 16830bj2 |
Quadratic twists by: -3 5 |