Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782q |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-1841442148 = -1 · 22 · 77 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -3 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-399375,-97311367] |
[a1,a2,a3,a4,a6] |
Generators |
[27383:4516481:1] |
Generators of the group modulo torsion |
j |
-59879725069515625/15652 |
j-invariant |
L |
6.2937239933358 |
L(r)(E,1)/r! |
Ω |
0.094956390666428 |
Real period |
R |
8.285018982345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826f1 |
Quadratic twists by: -7 |