Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756ba |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
2732394437598672 = 24 · 312 · 74 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405480,-99348923] |
[a1,a2,a3,a4,a6] |
Generators |
[-23324440:-9183213:64000] |
Generators of the group modulo torsion |
j |
632098143256576000/234258782373 |
j-invariant |
L |
7.0531499997747 |
L(r)(E,1)/r! |
Ω |
0.18919813653215 |
Real period |
R |
9.3197931667015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21252n1 |
Quadratic twists by: -3 |