Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9400i |
Isogeny class |
Conductor |
9400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-7343750000 = -1 · 24 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -4 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,4213] |
[a1,a2,a3,a4,a6] |
j |
-6400/47 |
j-invariant |
L |
2.2720475640481 |
L(r)(E,1)/r! |
Ω |
1.1360237820241 |
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 |
18800e1 75200h1 84600s1 9400f1 |
Quadratic twists by: -4 8 -3 5 |