Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742ca |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-95564924928 = -1 · 211 · 36 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 0 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1445,26205] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-96:1] |
Generators of the group modulo torsion |
j |
-864693625/247808 |
j-invariant |
L |
13.200105387547 |
L(r)(E,1)/r! |
Ω |
1.0128423878343 |
Real period |
R |
0.59239699799104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638c1 104742bm1 |
Quadratic twists by: -3 -23 |