Atkin-Lehner |
2+ 5- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
45650n |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4736187500000 = 25 · 59 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-234450,43596500] |
[a1,a2,a3,a4,a6] |
Generators |
[10893:98705:27] |
Generators of the group modulo torsion |
j |
729704927094389/2424928 |
j-invariant |
L |
5.1234796331085 |
L(r)(E,1)/r! |
Ω |
0.67412275826851 |
Real period |
R |
7.6002175720446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45650ba2 |
Quadratic twists by: 5 |