Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
75140g |
Isogeny class |
Conductor |
75140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
326339932880 = 24 · 5 · 132 · 176 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81305,8896180] |
[a1,a2,a3,a4,a6] |
Generators |
[148:356:1] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
3.4170797809965 |
L(r)(E,1)/r! |
Ω |
0.85586900979844 |
Real period |
R |
3.992526592856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
260a1 |
Quadratic twists by: 17 |