Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280gc |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-759152839680 = -1 · 210 · 314 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,888,40664] |
[a1,a2,a3,a4,a6] |
Generators |
[-510:3536:27] |
Generators of the group modulo torsion |
j |
103737344/1016955 |
j-invariant |
L |
7.2421707269485 |
L(r)(E,1)/r! |
Ω |
0.65989967592758 |
Real period |
R |
5.4873270850942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280cm1 22320k1 29760bw1 |
Quadratic twists by: -4 8 -3 |