Atkin-Lehner |
2+ 3- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21390d |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53132760000 = 26 · 34 · 54 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10474,-413284] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:41:1] |
Generators of the group modulo torsion |
j |
127057941485566489/53132760000 |
j-invariant |
L |
3.8810255346742 |
L(r)(E,1)/r! |
Ω |
0.47194053341235 |
Real period |
R |
1.0279434748412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170bi2 106950bu2 |
Quadratic twists by: -3 5 |