Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gj |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
1673571715200 = 27 · 36 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3718,-61468] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:110:1] |
Generators of the group modulo torsion |
j |
4640054485465/1366180992 |
j-invariant |
L |
12.868020115422 |
L(r)(E,1)/r! |
Ω |
0.62522768727255 |
Real period |
R |
0.12250794294026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850bi1 80850ds1 |
Quadratic twists by: 5 -7 |