Atkin-Lehner |
3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905y |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
37656590753402775 = 310 · 52 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11569545,15149747146] |
[a1,a2,a3,a4,a6] |
j |
234933551390769872069521/51655131348975 |
j-invariant |
L |
2.3177997952073 |
L(r)(E,1)/r! |
Ω |
0.28972497442585 |
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 |
19635m5 |
Quadratic twists by: -3 |