Atkin-Lehner |
2+ 5- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11210c |
Isogeny class |
Conductor |
11210 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
695236664125030400 = 236 · 52 · 193 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-445338,-107160244] |
[a1,a2,a3,a4,a6] |
j |
9767683378792571448601/695236664125030400 |
j-invariant |
L |
0.55692013973112 |
L(r)(E,1)/r! |
Ω |
0.18564004657704 |
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 |
89680g3 100890t3 56050n3 |
Quadratic twists by: -4 -3 5 |