Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36260r |
Isogeny class |
Conductor |
36260 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-15863750000 = -1 · 24 · 57 · 73 · 37 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -4 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1150,16577] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:175:1] |
Generators of the group modulo torsion |
j |
-30674728192/2890625 |
j-invariant |
L |
4.4215604449629 |
L(r)(E,1)/r! |
Ω |
1.2115802238181 |
Real period |
R |
0.086890860893912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36260h1 |
Quadratic twists by: -7 |