Atkin-Lehner |
2- 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150df |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-50735496210750000 = -1 · 24 · 39 · 56 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12445,-10827053] |
[a1,a2,a3,a4,a6] |
j |
693154125/164968336 |
j-invariant |
L |
5.3605815841396 |
L(r)(E,1)/r! |
Ω |
0.16751817964245 |
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 |
111150j2 4446b2 |
Quadratic twists by: -3 5 |