Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cl |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8.030664E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3772788,13339385584] |
[a1,a2,a3,a4,a6] |
Generators |
[2373:188825:1] |
Generators of the group modulo torsion |
j |
31077313442863199/420227050781250 |
j-invariant |
L |
7.2678759439013 |
L(r)(E,1)/r! |
Ω |
0.080237817485723 |
Real period |
R |
5.6611989299842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fd7 1530c8 16320bb8 |
Quadratic twists by: -4 8 -3 |