Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810bl |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-20273011040520 = -1 · 23 · 34 · 5 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9033,-395852] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/430920 |
j-invariant |
L |
1.9335547493868 |
L(r)(E,1)/r! |
Ω |
0.24169434420093 |
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 |
3990s1 |
Quadratic twists by: -19 |