Atkin-Lehner |
2- 3+ 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
42180d |
Isogeny class |
Conductor |
42180 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-33209157600000 = -1 · 28 · 310 · 55 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -1 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21365,-1226463] |
[a1,a2,a3,a4,a6] |
Generators |
[704:18225:1] |
Generators of the group modulo torsion |
j |
-4213206693707776/129723271875 |
j-invariant |
L |
3.9264016540144 |
L(r)(E,1)/r! |
Ω |
0.1970856607303 |
Real period |
R |
1.9922310123761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126540k1 |
Quadratic twists by: -3 |