Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760bt |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-3.0838660502074E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108456,267570800] |
[a1,a2,a3,a4,a6] |
j |
-19443408769/4249907200 |
j-invariant |
L |
4.0845032283579 |
L(r)(E,1)/r! |
Ω |
0.17018763496683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470f1 6160g1 |
Quadratic twists by: -4 -11 |