Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cl |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3072832000000000 = -1 · 215 · 59 · 7 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12592,2615188] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:1350:1] |
Generators of the group modulo torsion |
j |
3449795831/48013000 |
j-invariant |
L |
4.0931089091284 |
L(r)(E,1)/r! |
Ω |
0.33325970769463 |
Real period |
R |
3.0705098866525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650w2 10640k2 |
Quadratic twists by: -4 5 |