Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760ch |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-396829664000 = -1 · 28 · 53 · 7 · 116 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-645,-30743] |
[a1,a2,a3,a4,a6] |
Generators |
[49:230:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
6.0800138362163 |
L(r)(E,1)/r! |
Ω |
0.40532216551589 |
Real period |
R |
2.5000745715988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16940d1 560f1 |
Quadratic twists by: -4 -11 |