Atkin-Lehner |
3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23265s |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3985643475 = -1 · 38 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,396,-297] |
[a1,a2,a3,a4,a6] |
j |
9407293631/5467275 |
j-invariant |
L |
3.295807399527 |
L(r)(E,1)/r! |
Ω |
0.82395184988175 |
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 |
7755f2 116325r2 |
Quadratic twists by: -3 5 |