Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cb |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
2.1155437046016E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157753016,-762362743980] |
[a1,a2,a3,a4,a6] |
Generators |
[-7364:6786:1] |
Generators of the group modulo torsion |
j |
105997782562506306791694649/51649016225625000000 |
j-invariant |
L |
5.7395824824246 |
L(r)(E,1)/r! |
Ω |
0.042600808122461 |
Real period |
R |
3.3682356834203 |
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 |
2730c2 87360fl2 65520en2 109200da2 |
Quadratic twists by: -4 8 -3 5 |