Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41140h |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-382961884492000000 = -1 · 28 · 56 · 117 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,181339,-1690361] |
[a1,a2,a3,a4,a6] |
Generators |
[34:2125:1] [909:30250:1] |
Generators of the group modulo torsion |
j |
1454115454976/844421875 |
j-invariant |
L |
6.6838270240896 |
L(r)(E,1)/r! |
Ω |
0.17825667730018 |
Real period |
R |
0.52077112788205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3740b2 |
Quadratic twists by: -11 |