Atkin-Lehner |
2- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
128260i |
Isogeny class |
Conductor |
128260 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
-806890674218750000 = -1 · 24 · 511 · 117 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- -7 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90185,-44427458] |
[a1,a2,a3,a4,a6] |
Generators |
[4514:302500:1] |
Generators of the group modulo torsion |
j |
-2861905985536/28466796875 |
j-invariant |
L |
5.2029826900638 |
L(r)(E,1)/r! |
Ω |
0.11990783855506 |
Real period |
R |
1.9723416118262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997301654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11660f1 |
Quadratic twists by: -11 |