Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bg |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.3083854765101E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23424188,21074989740] |
[a1,a2,a3,a4,a6] |
Generators |
[-21532822214785467136811:-1066006774943400508045894:5076396130596048721] |
Generators of the group modulo torsion |
j |
3134160907827154000/1390984039929627 |
j-invariant |
L |
5.3823003648961 |
L(r)(E,1)/r! |
Ω |
0.082040781254359 |
Real period |
R |
32.80259086808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18876i2 6864p2 |
Quadratic twists by: -4 -11 |