Atkin-Lehner |
2- 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52440j |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10999814400 = 28 · 32 · 52 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2916,61380] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:342:1] [-16:322:1] |
Generators of the group modulo torsion |
j |
10715075419984/42968025 |
j-invariant |
L |
8.0474982020794 |
L(r)(E,1)/r! |
Ω |
1.2848920150043 |
Real period |
R |
1.5657927102249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104880q2 |
Quadratic twists by: -4 |