Atkin-Lehner |
2- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840bb |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
384084161331200 = 228 · 52 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-478307,127319906] |
[a1,a2,a3,a4,a6] |
j |
2954499865542011961/93770547200 |
j-invariant |
L |
2.9931590385489 |
L(r)(E,1)/r! |
Ω |
0.49885983976145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730b1 |
Quadratic twists by: -4 |