Atkin-Lehner |
2- 3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41820h |
Isogeny class |
Conductor |
41820 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
16335937500000000 = 28 · 3 · 515 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2641396,-1653205420] |
[a1,a2,a3,a4,a6] |
Generators |
[-7510:855:8] |
Generators of the group modulo torsion |
j |
7961308602818533812304/63812255859375 |
j-invariant |
L |
6.4533713041343 |
L(r)(E,1)/r! |
Ω |
0.11842444849314 |
Real period |
R |
6.0548414211651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125460r2 |
Quadratic twists by: -3 |