Atkin-Lehner |
3+ 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747a |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1317048579 = -1 · 39 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
2 3+ -1 7+ 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-243,-2275] |
[a1,a2,a3,a4,a6] |
Generators |
[690:6287:8] |
Generators of the group modulo torsion |
j |
-80621568/66913 |
j-invariant |
L |
10.054269922241 |
L(r)(E,1)/r! |
Ω |
0.58404627496794 |
Real period |
R |
4.303712887598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54747b1 |
Quadratic twists by: -3 |