Atkin-Lehner |
2- 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770bi |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-80627400 = -1 · 23 · 36 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 5 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,4097] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-2:1] |
Generators of the group modulo torsion |
j |
-16022066761/110600 |
j-invariant |
L |
9.102781002685 |
L(r)(E,1)/r! |
Ω |
1.9365573548569 |
Real period |
R |
0.78341607766446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530d1 |
Quadratic twists by: -3 |