Atkin-Lehner |
3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249g |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155904 |
Modular degree for the optimal curve |
Δ |
-151590263979 = -1 · 3 · 7 · 114 · 793 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-333704,74309012] |
[a1,a2,a3,a4,a6] |
j |
-4109691771640831578112/151590263979 |
j-invariant |
L |
1.5189373386323 |
L(r)(E,1)/r! |
Ω |
0.75946866931616 |
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 |
54747w1 127743ba1 |
Quadratic twists by: -3 -7 |