Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gj |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-9260303659200 = -1 · 26 · 33 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2180123,-1239722157] |
[a1,a2,a3,a4,a6] |
Generators |
[30726414453780154:1118821598537266041:12637939734757] |
Generators of the group modulo torsion |
j |
-716220782494793351680/5787689787 |
j-invariant |
L |
8.4538091668545 |
L(r)(E,1)/r! |
Ω |
0.062122552679849 |
Real period |
R |
22.680461985149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800fd1 26400bk1 52800fl1 |
Quadratic twists by: -4 8 5 |