Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360ba |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5109158470686566400 = -1 · 211 · 32 · 52 · 13 · 318 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183040,-112911712] |
[a1,a2,a3,a4,a6] |
Generators |
[16418892380:609221868633:10648000] |
Generators of the group modulo torsion |
j |
-331157163356997122/2494706284514925 |
j-invariant |
L |
8.9041975211796 |
L(r)(E,1)/r! |
Ω |
0.10201061100894 |
Real period |
R |
10.910871713626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720m5 |
Quadratic twists by: -4 |