Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
600d |
Isogeny class |
Conductor |
600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-750000 = -1 · 24 · 3 · 56 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17,38] |
[a1,a2,a3,a4,a6] |
j |
2048/3 |
j-invariant |
L |
1.9288462329405 |
L(r)(E,1)/r! |
Ω |
1.9288462329405 |
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 |
1200a1 4800c1 1800s1 24a4 |
Quadratic twists by: -4 8 -3 5 |