Atkin-Lehner |
2- 3- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bq |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11180998001935818 = 2 · 39 · 7 · 176 · 412 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55913,131199] |
[a1,a2,a3,a4,a6] |
Generators |
[-98010:2207787:1000] |
Generators of the group modulo torsion |
j |
26517176938614601/15337445818842 |
j-invariant |
L |
14.014298891829 |
L(r)(E,1)/r! |
Ω |
0.34208060998653 |
Real period |
R |
10.241956484974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274m2 |
Quadratic twists by: -3 |