Atkin-Lehner |
2- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
47138p |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
144144 |
Modular degree for the optimal curve |
Δ |
-232986749585408 = -1 · 211 · 72 · 137 · 37 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 13- 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10695,851519] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:1022:1] |
Generators of the group modulo torsion |
j |
-2760780819092625/4754831624192 |
j-invariant |
L |
9.0298210692968 |
L(r)(E,1)/r! |
Ω |
0.49882153238515 |
Real period |
R |
0.23509491047109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47138h1 |
Quadratic twists by: -7 |