Atkin-Lehner |
3+ 5- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
67545c |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-36064676513671875 = -1 · 39 · 513 · 19 · 79 |
Discriminant |
Eigenvalues |
2 3+ 5- 0 -2 7 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-191997,-33645355] |
[a1,a2,a3,a4,a6] |
Generators |
[399816:8757869:512] |
Generators of the group modulo torsion |
j |
-39766351597719552/1832275390625 |
j-invariant |
L |
14.776432622851 |
L(r)(E,1)/r! |
Ω |
0.11373100388775 |
Real period |
R |
4.9970923694358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67545a1 |
Quadratic twists by: -3 |