Atkin-Lehner |
5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
57475j |
Isogeny class |
Conductor |
57475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6045590315703125 = 57 · 118 · 192 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 11- 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93838,-10451594] |
[a1,a2,a3,a4,a6] |
Generators |
[9633:29776:27] |
Generators of the group modulo torsion |
j |
3301293169/218405 |
j-invariant |
L |
5.3428624013679 |
L(r)(E,1)/r! |
Ω |
0.27390872124511 |
Real period |
R |
4.8764989820365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11495c2 5225a2 |
Quadratic twists by: 5 -11 |