Atkin-Lehner |
2- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9328g |
Isogeny class |
Conductor |
9328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-19342510845329408 = -1 · 230 · 112 · 533 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11+ 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43352,5704304] |
[a1,a2,a3,a4,a6] |
j |
2199789679916375/4722292686848 |
j-invariant |
L |
1.0700509736826 |
L(r)(E,1)/r! |
Ω |
0.26751274342064 |
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 |
1166c2 37312bg2 83952r2 102608p2 |
Quadratic twists by: -4 8 -3 -11 |