Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080bf |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-6.50958336E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49440,1227513600] |
[a1,a2,a3,a4,a6] |
Generators |
[-880:22400:1] |
Generators of the group modulo torsion |
j |
3262799342345759/158925375000000000 |
j-invariant |
L |
5.5116635243001 |
L(r)(E,1)/r! |
Ω |
0.12798604393314 |
Real period |
R |
0.89717847269609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510bd2 |
Quadratic twists by: -4 |