Atkin-Lehner |
3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905r |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
278937709284465 = 37 · 5 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88425,-10066680] |
[a1,a2,a3,a4,a6] |
j |
104887600917094801/382630602585 |
j-invariant |
L |
2.2153422138027 |
L(r)(E,1)/r! |
Ω |
0.27691777671434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635v4 |
Quadratic twists by: -3 |