Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150bf |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
651015225000000 = 26 · 312 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81230,-8805603] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:335:1] |
Generators of the group modulo torsion |
j |
5203798902289/57153600 |
j-invariant |
L |
4.7634463672801 |
L(r)(E,1)/r! |
Ω |
0.28298216348211 |
Real period |
R |
1.402752240832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25200ef2 100800cx2 1050a2 630f2 |
Quadratic twists by: -4 8 -3 5 |