Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cd |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1377792 |
Modular degree for the optimal curve |
Δ |
28886886384543594 = 2 · 36 · 11 · 239 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- 5 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-654737,203914167] |
[a1,a2,a3,a4,a6] |
Generators |
[-29697038:1111603131:54872] |
Generators of the group modulo torsion |
j |
23639903/22 |
j-invariant |
L |
12.597229337135 |
L(r)(E,1)/r! |
Ω |
0.37095966541178 |
Real period |
R |
8.4896219783884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638d1 104742bt1 |
Quadratic twists by: -3 -23 |