Atkin-Lehner |
2+ 3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100674s |
Isogeny class |
Conductor |
100674 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-40244291361792 = -1 · 210 · 310 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102807,12717085] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:3755:1] [89:2021:1] |
Generators of the group modulo torsion |
j |
-164841523121472625/55204789248 |
j-invariant |
L |
8.6864410507374 |
L(r)(E,1)/r! |
Ω |
0.63266504022951 |
Real period |
R |
1.7162401308707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33558y1 |
Quadratic twists by: -3 |