Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4230g |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-26612858880 = -1 · 222 · 33 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 2 -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294,-8012] |
[a1,a2,a3,a4,a6] |
j |
-104287581243/985661440 |
j-invariant |
L |
2.0127154643873 |
L(r)(E,1)/r! |
Ω |
0.50317886609683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33840bk1 4230u1 21150bt1 |
Quadratic twists by: -4 -3 5 |