Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638i |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-2048288 = -1 · 25 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 1 -4 4 11- 6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8878,-322688] |
[a1,a2,a3,a4,a6] |
Generators |
[11064:211952:27] |
Generators of the group modulo torsion |
j |
-146265917771209/3872 |
j-invariant |
L |
3.5111307346749 |
L(r)(E,1)/r! |
Ω |
0.24592157595707 |
Real period |
R |
7.1387203847617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93104p1 104742by1 128018v1 11638b1 |
Quadratic twists by: -4 -3 -11 -23 |