Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184f |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-4416830208 = -1 · 28 · 37 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 3 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1812,-29860] |
[a1,a2,a3,a4,a6] |
j |
-3525581824/23667 |
j-invariant |
L |
0.7314519827723 |
L(r)(E,1)/r! |
Ω |
0.36572599138612 |
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 |
11592g1 92736ed1 7728c1 |
Quadratic twists by: -4 8 -3 |