Atkin-Lehner |
2- 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52440j |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5754975360000 = -1 · 210 · 3 · 54 · 194 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1536,118236] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:364:1] [41:350:1] |
Generators of the group modulo torsion |
j |
-391633754116/5620093125 |
j-invariant |
L |
8.0474982020794 |
L(r)(E,1)/r! |
Ω |
0.64244600750213 |
Real period |
R |
6.2631708408997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880q3 |
Quadratic twists by: -4 |