Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bt |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1541093005186482176 = -1 · 214 · 117 · 136 |
Discriminant |
Eigenvalues |
2+ -1 -3 -2 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-807957,286110541] |
[a1,a2,a3,a4,a6] |
Generators |
[972:20449:1] |
Generators of the group modulo torsion |
j |
-2009615368192/53094899 |
j-invariant |
L |
2.6753665211966 |
L(r)(E,1)/r! |
Ω |
0.26723193942462 |
Real period |
R |
0.41714177438529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999700242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dr2 6292d2 9152c2 |
Quadratic twists by: -4 8 -11 |