Atkin-Lehner |
2+ 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440d |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
217470329723750400 = 211 · 310 · 52 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160616,-10456020] |
[a1,a2,a3,a4,a6] |
j |
223749916389606098/106186684435425 |
j-invariant |
L |
1.4991298817885 |
L(r)(E,1)/r! |
Ω |
0.24985498029808 |
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 |
44880p2 67320bl2 112200ca2 |
Quadratic twists by: -4 -3 5 |