Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304v |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
3810400792128 = 26 · 311 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5000169,4303533008] |
[a1,a2,a3,a4,a6] |
j |
296326341756254404288/81670113 |
j-invariant |
L |
2.7881745980904 |
L(r)(E,1)/r! |
Ω |
0.46469576635747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304i1 76608fb1 12768r1 |
Quadratic twists by: -4 8 -3 |