Atkin-Lehner |
2- 3+ 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270o |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
171520 |
Modular degree for the optimal curve |
Δ |
709912166400 = 220 · 33 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5183,-136473] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:86:1] |
Generators of the group modulo torsion |
j |
570197116864467/26293043200 |
j-invariant |
L |
6.5599687927007 |
L(r)(E,1)/r! |
Ω |
0.56428573567068 |
Real period |
R |
0.58126303580925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90270f1 |
Quadratic twists by: -3 |