Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6708b |
Isogeny class |
Conductor |
6708 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
150688512 = 28 · 34 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268,-1496] |
[a1,a2,a3,a4,a6] |
Generators |
[41:234:1] |
Generators of the group modulo torsion |
j |
8346562000/588627 |
j-invariant |
L |
3.1156915187492 |
L(r)(E,1)/r! |
Ω |
1.1848315012464 |
Real period |
R |
2.629649461102 |
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 |
26832o2 107328u2 20124d2 87204h2 |
Quadratic twists by: -4 8 -3 13 |