Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552p |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
18255431376 = 24 · 39 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521694,145034685] |
[a1,a2,a3,a4,a6] |
Generators |
[390:945:1] |
Generators of the group modulo torsion |
j |
49860882714802176/57967 |
j-invariant |
L |
4.6270357744893 |
L(r)(E,1)/r! |
Ω |
0.77694186396836 |
Real period |
R |
0.99257443168613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104c1 52416bf1 6552c1 45864bb1 |
Quadratic twists by: -4 8 -3 -7 |