Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48480j |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-423055872000 = -1 · 212 · 34 · 53 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545,31857] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:180:1] |
Generators of the group modulo torsion |
j |
-4378747456/103285125 |
j-invariant |
L |
5.0035725408254 |
L(r)(E,1)/r! |
Ω |
0.7912040328446 |
Real period |
R |
1.0539996286453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48480u2 96960dg1 |
Quadratic twists by: -4 8 |