Atkin-Lehner |
2- 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860k |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-418957360024320 = -1 · 28 · 311 · 5 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3552,981412] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:522:1] [-52:810:1] |
Generators of the group modulo torsion |
j |
26556760064/2244927555 |
j-invariant |
L |
9.7646987833686 |
L(r)(E,1)/r! |
Ω |
0.40623435288868 |
Real period |
R |
1.001546143041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22620f1 |
Quadratic twists by: -3 |