Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6240d |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1.2866640134029E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1711496,667563336] |
[a1,a2,a3,a4,a6] |
j |
1082883335268084577352/251301565117746585 |
j-invariant |
L |
1.0460643600644 |
L(r)(E,1)/r! |
Ω |
0.17434406001073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6240l3 12480cu3 18720bo3 31200bv3 |
Quadratic twists by: -4 8 -3 5 |