Atkin-Lehner |
3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265f |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13599812665395 = -1 · 39 · 5 · 113 · 473 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6372,264215] |
[a1,a2,a3,a4,a6] |
j |
-1453649559552/690942065 |
j-invariant |
L |
1.3188350889871 |
L(r)(E,1)/r! |
Ω |
0.65941754449357 |
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 |
23265d1 116325d2 |
Quadratic twists by: -3 5 |