Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800i |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-470000 = -1 · 24 · 54 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 4 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-37] |
[a1,a2,a3,a4,a6] |
j |
-6400/47 |
j-invariant |
L |
3.7307123730666 |
L(r)(E,1)/r! |
Ω |
1.2435707910222 |
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 |
9400f1 75200di1 18800e1 |
Quadratic twists by: -4 8 5 |