Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975b |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-623953125 = -1 · 34 · 56 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 0 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,212,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[20:102:1] |
Generators of the group modulo torsion |
j |
67419143/39933 |
j-invariant |
L |
2.5699859553692 |
L(r)(E,1)/r! |
Ω |
0.95075436522684 |
Real period |
R |
0.67577548138736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925be1 1479e1 |
Quadratic twists by: -3 5 |