Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248p |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
1.2715628346714E+19 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 1 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-598992,-48838271] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:8281:1] [12528:1399489:1] |
Generators of the group modulo torsion |
j |
53385472/28561 |
j-invariant |
L |
7.1738962643915 |
L(r)(E,1)/r! |
Ω |
0.18250493177588 |
Real period |
R |
1.6378315996203 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66248t1 5096a1 |
Quadratic twists by: -7 13 |