Atkin-Lehner |
2- 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
73260bb |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-39520839600 = -1 · 24 · 38 · 52 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1632,-27119] |
[a1,a2,a3,a4,a6] |
j |
-41213231104/3388275 |
j-invariant |
L |
4.4857181285408 |
L(r)(E,1)/r! |
Ω |
0.37380984403125 |
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 |
24420k1 |
Quadratic twists by: -3 |