Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760bi |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.654170642973E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1861633763,30916422881762] |
[a1,a2,a3,a4,a6] |
Generators |
[24478:117880:1] |
Generators of the group modulo torsion |
j |
73877525106256274859/48189030400 |
j-invariant |
L |
6.0046399998215 |
L(r)(E,1)/r! |
Ω |
0.07736911958837 |
Real period |
R |
6.46752437302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470a2 67760w2 |
Quadratic twists by: -4 -11 |