Atkin-Lehner |
2+ 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850cu |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-160985835450000000 = -1 · 27 · 37 · 58 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18117,19331541] |
[a1,a2,a3,a4,a6] |
j |
-2309449585/565327488 |
j-invariant |
L |
3.161426895955 |
L(r)(E,1)/r! |
Ω |
0.26345228771647 |
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 |
37950di1 113850fh1 |
Quadratic twists by: -3 5 |