Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cl |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-10484465379645312 = -1 · 27 · 37 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11- 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49891,2410661] |
[a1,a2,a3,a4,a6] |
Generators |
[213:4654:1] |
Generators of the group modulo torsion |
j |
127263527/97152 |
j-invariant |
L |
12.316575729989 |
L(r)(E,1)/r! |
Ω |
0.26007553232552 |
Real period |
R |
0.84567298632114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914n1 4554ba1 |
Quadratic twists by: -3 -23 |