Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280dl |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
3199063818240 = 220 · 39 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,73872] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:432:1] |
Generators of the group modulo torsion |
j |
1860867/620 |
j-invariant |
L |
3.1704269107148 |
L(r)(E,1)/r! |
Ω |
0.7343908678954 |
Real period |
R |
2.1585418968592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280g1 22320bd1 89280dx1 |
Quadratic twists by: -4 8 -3 |