Atkin-Lehner |
2+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782w |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-396473543117288 = -1 · 23 · 79 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- -1 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71794,-7448036] |
[a1,a2,a3,a4,a6] |
Generators |
[331:2064:1] |
Generators of the group modulo torsion |
j |
-1014166373823/9824984 |
j-invariant |
L |
1.5659839626626 |
L(r)(E,1)/r! |
Ω |
0.1457458950653 |
Real period |
R |
1.3430772459985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782j1 |
Quadratic twists by: -7 |