Atkin-Lehner |
2- 3- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822by |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1444143191887872 = 212 · 36 · 74 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28361,198217] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:-1054:1] [-994:11203:8] |
Generators of the group modulo torsion |
j |
3460560508171593/1980992032768 |
j-invariant |
L |
14.408985468124 |
L(r)(E,1)/r! |
Ω |
0.40997241580849 |
Real period |
R |
0.24407105265033 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758d1 |
Quadratic twists by: -3 |