Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782m |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-3.1941324419798E+22 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 1 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54410312,-154722835466] |
[a1,a2,a3,a4,a6] |
Generators |
[607895911198:163925047095471:8242408] |
Generators of the group modulo torsion |
j |
-63064789323901032073/113076542220512 |
j-invariant |
L |
3.6295160679181 |
L(r)(E,1)/r! |
Ω |
0.027790898424293 |
Real period |
R |
18.657269999002 |
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 |
54782d1 |
Quadratic twists by: -7 |