Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210f |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.1126562211201E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13812720,-19631495800] |
[a1,a2,a3,a4,a6] |
Generators |
[686278925045:-28761871757835:133432831] |
Generators of the group modulo torsion |
j |
399791748472514350104321/2898019507709375000 |
j-invariant |
L |
2.8435937269792 |
L(r)(E,1)/r! |
Ω |
0.078346484026013 |
Real period |
R |
18.147551624864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4690d3 |
Quadratic twists by: -3 |