Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970o |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
109308063553290000 = 24 · 38 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-311355,65028501] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:10646:1] |
Generators of the group modulo torsion |
j |
38920307374369/1274490000 |
j-invariant |
L |
4.7207449399924 |
L(r)(E,1)/r! |
Ω |
0.33204115548772 |
Real period |
R |
1.7771686061614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990cf2 10710m2 |
Quadratic twists by: -3 -7 |