Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770q |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1081588723200 = -1 · 29 · 313 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3654,-97740] |
[a1,a2,a3,a4,a6] |
j |
-7402333827169/1483660800 |
j-invariant |
L |
1.2149776167191 |
L(r)(E,1)/r! |
Ω |
0.30374440417977 |
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 |
38160ci1 1590s1 23850ci1 |
Quadratic twists by: -4 -3 5 |