Atkin-Lehner |
2+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782d |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-271496777871449312 = -1 · 25 · 74 · 13 · 437 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 1 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1110414,450611092] |
[a1,a2,a3,a4,a6] |
Generators |
[5438:-28605:8] |
Generators of the group modulo torsion |
j |
-63064789323901032073/113076542220512 |
j-invariant |
L |
4.0478980696889 |
L(r)(E,1)/r! |
Ω |
0.30971204815814 |
Real period |
R |
0.62237504830996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782m1 |
Quadratic twists by: -7 |