Atkin-Lehner |
2+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850l |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
751680 |
Modular degree for the optimal curve |
Δ |
-2171200000000 = -1 · 212 · 58 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5- -5 4 -6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-160325,24642125] |
[a1,a2,a3,a4,a6] |
Generators |
[10:4795:1] [235:-5:1] |
Generators of the group modulo torsion |
j |
-1166733467685625/5558272 |
j-invariant |
L |
9.4090255788079 |
L(r)(E,1)/r! |
Ω |
0.72763576996447 |
Real period |
R |
2.1551592081155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67850v1 |
Quadratic twists by: 5 |