Atkin-Lehner |
3- 5- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205bi |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63488 |
Modular degree for the optimal curve |
Δ |
-9252683055 = -1 · 310 · 5 · 7 · 112 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-4617] |
[a1,a2,a3,a4,a6] |
Generators |
[4818:61735:27] |
Generators of the group modulo torsion |
j |
-24137569/12692295 |
j-invariant |
L |
8.6737146374681 |
L(r)(E,1)/r! |
Ω |
0.58302664164473 |
Real period |
R |
7.43852338515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735j1 |
Quadratic twists by: -3 |