Atkin-Lehner |
2+ 3- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822r |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-2176756092 = -1 · 22 · 38 · 7 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252,-2660] |
[a1,a2,a3,a4,a6] |
Generators |
[262:1093:8] |
Generators of the group modulo torsion |
j |
-2433138625/2985948 |
j-invariant |
L |
6.0234466163535 |
L(r)(E,1)/r! |
Ω |
0.57233706095935 |
Real period |
R |
2.6310748658864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274bc1 |
Quadratic twists by: -3 |