Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79497f |
Isogeny class |
Conductor |
79497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2545483366899 = -1 · 39 · 116 · 73 |
Discriminant |
Eigenvalues |
0 3- 3 4 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2904,47583] |
[a1,a2,a3,a4,a6] |
Generators |
[33:423:1] |
Generators of the group modulo torsion |
j |
2097152/1971 |
j-invariant |
L |
8.5093171248141 |
L(r)(E,1)/r! |
Ω |
0.53224524416723 |
Real period |
R |
1.9984483698064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26499h1 657c1 |
Quadratic twists by: -3 -11 |