Atkin-Lehner |
2- 5- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370v |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
14432545054720000 = 216 · 54 · 136 · 73 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146217,-20692759] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:604:1] |
Generators of the group modulo torsion |
j |
71623315478889/2990080000 |
j-invariant |
L |
12.374744263865 |
L(r)(E,1)/r! |
Ω |
0.24477558812169 |
Real period |
R |
1.5798583445372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
730a1 |
Quadratic twists by: 13 |