Atkin-Lehner |
2- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568z |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1301760 |
Modular degree for the optimal curve |
Δ |
-3142718302976 = -1 · 28 · 74 · 17 · 673 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 5 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-304456,-64659940] |
[a1,a2,a3,a4,a6] |
Generators |
[10189169142:72230909282:15438249] |
Generators of the group modulo torsion |
j |
-12191506050434752512/12276243371 |
j-invariant |
L |
12.819359221895 |
L(r)(E,1)/r! |
Ω |
0.1016221545654 |
Real period |
R |
15.768410983522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31892c1 |
Quadratic twists by: -4 |