Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37224g |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-4534776576 = -1 · 28 · 36 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,-4844] |
[a1,a2,a3,a4,a6] |
Generators |
[30:94:1] |
Generators of the group modulo torsion |
j |
-51868672/24299 |
j-invariant |
L |
3.9473296204982 |
L(r)(E,1)/r! |
Ω |
0.50858953647718 |
Real period |
R |
0.9701658551214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74448h1 4136d1 |
Quadratic twists by: -4 -3 |