Atkin-Lehner |
3- 5- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205bd |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
96171826905 = 39 · 5 · 74 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10449,-408240] |
[a1,a2,a3,a4,a6] |
Generators |
[55132:463002:343] |
Generators of the group modulo torsion |
j |
173078750185489/131922945 |
j-invariant |
L |
8.7674626104076 |
L(r)(E,1)/r! |
Ω |
0.47222480421514 |
Real period |
R |
9.2831449546907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735g1 |
Quadratic twists by: -3 |