Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fp |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
2928830400 = 26 · 310 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9327,346696] |
[a1,a2,a3,a4,a6] |
Generators |
[72:220:1] |
Generators of the group modulo torsion |
j |
1923278337856/62775 |
j-invariant |
L |
7.4777261349517 |
L(r)(E,1)/r! |
Ω |
1.3327993122936 |
Real period |
R |
2.8052708572972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280fb1 44640o4 29760cl1 |
Quadratic twists by: -4 8 -3 |