Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502q |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-20115905085144 = -1 · 23 · 37 · 117 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 11- 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92043,10773373] |
[a1,a2,a3,a4,a6] |
Generators |
[-349:719:1] |
Generators of the group modulo torsion |
j |
-66775173193/15576 |
j-invariant |
L |
7.3714612465259 |
L(r)(E,1)/r! |
Ω |
0.66617948566832 |
Real period |
R |
2.7663195082588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42834ba1 11682p1 |
Quadratic twists by: -3 -11 |