Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414cp |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-36451625186737152 = -1 · 210 · 36 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,81877,1729019] |
[a1,a2,a3,a4,a6] |
Generators |
[429:10540:1] |
Generators of the group modulo torsion |
j |
3449795831/2071552 |
j-invariant |
L |
10.520574177814 |
L(r)(E,1)/r! |
Ω |
0.22418714100592 |
Real period |
R |
4.6927643265386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046c1 2142t1 |
Quadratic twists by: -3 17 |