Atkin-Lehner |
2+ 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190g |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
-831515625000 = -1 · 23 · 36 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1803,-52994] |
[a1,a2,a3,a4,a6] |
j |
-647686121198761/831515625000 |
j-invariant |
L |
2.0972704166338 |
L(r)(E,1)/r! |
Ω |
0.34954506943896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17520p1 70080g1 6570y1 10950s1 |
Quadratic twists by: -4 8 -3 5 |