Atkin-Lehner |
2+ 3- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370f |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-663478861824000 = -1 · 221 · 32 · 53 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20991,-405068] |
[a1,a2,a3,a4,a6] |
j |
1022946307261326071/663478861824000 |
j-invariant |
L |
1.7524589666615 |
L(r)(E,1)/r! |
Ω |
0.29207649444358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70110bm2 116850bx2 |
Quadratic twists by: -3 5 |