Atkin-Lehner |
2- 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808l |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
4187553792 = 216 · 3 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-464,-2112] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:38:1] |
Generators of the group modulo torsion |
j |
2703045457/1022352 |
j-invariant |
L |
2.0079179544129 |
L(r)(E,1)/r! |
Ω |
1.0616256366431 |
Real period |
R |
0.9456807961348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726i1 |
Quadratic twists by: -4 |