Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
7470j |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-3720060000 = -1 · 25 · 33 · 54 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,382,481] |
[a1,a2,a3,a4,a6] |
Generators |
[5:47:1] |
Generators of the group modulo torsion |
j |
228884003613/137780000 |
j-invariant |
L |
5.8396991848625 |
L(r)(E,1)/r! |
Ω |
0.85816887038108 |
Real period |
R |
0.68048368874873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760r2 7470b2 37350a2 |
Quadratic twists by: -4 -3 5 |