Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67280t |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
751680 |
Modular degree for the optimal curve |
Δ |
-409801861497651200 = -1 · 215 · 52 · 298 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 -4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,154464,20014336] |
[a1,a2,a3,a4,a6] |
Generators |
[561:16820:1] |
Generators of the group modulo torsion |
j |
198911/200 |
j-invariant |
L |
3.4288015513287 |
L(r)(E,1)/r! |
Ω |
0.19718771077301 |
Real period |
R |
1.4490429526914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410j1 67280o1 |
Quadratic twists by: -4 29 |