Atkin-Lehner |
2- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37720k |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-1886000 = -1 · 24 · 53 · 23 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 -4 3 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29,20] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
162830336/117875 |
j-invariant |
L |
4.975066957587 |
L(r)(E,1)/r! |
Ω |
1.6753496296057 |
Real period |
R |
1.4847846890204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75440c1 |
Quadratic twists by: -4 |