Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bt |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-7647042876715008 = -1 · 212 · 313 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -1 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39120,2971888] |
[a1,a2,a3,a4,a6] |
j |
2217342464000/2560979187 |
j-invariant |
L |
2.2234369677298 |
L(r)(E,1)/r! |
Ω |
0.27792962267015 |
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 |
4797b1 25584t1 |
Quadratic twists by: -4 -3 |