Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cu |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-14719795200 = -1 · 214 · 33 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22033,1251503] |
[a1,a2,a3,a4,a6] |
Generators |
[77:132:1] |
Generators of the group modulo torsion |
j |
-2888047810000/35937 |
j-invariant |
L |
7.4246054833851 |
L(r)(E,1)/r! |
Ω |
1.1351951622418 |
Real period |
R |
0.36335433423888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800ef1 3300a1 52800bu1 |
Quadratic twists by: -4 8 5 |