Atkin-Lehner |
2+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
4150f |
Isogeny class |
Conductor |
4150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-8703180800000000 = -1 · 228 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 -5 -2 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17633,-4401459] |
[a1,a2,a3,a4,a6] |
j |
1552131260055/22280142848 |
j-invariant |
L |
0.40360840001852 |
L(r)(E,1)/r! |
Ω |
0.20180420000926 |
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 |
33200bl1 37350ca1 4150j1 |
Quadratic twists by: -4 -3 5 |