Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600p |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-15264000000 = -1 · 211 · 32 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -3 2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808,10388] |
[a1,a2,a3,a4,a6] |
j |
-1825346/477 |
j-invariant |
L |
4.7336435941762 |
L(r)(E,1)/r! |
Ω |
1.1834108981493 |
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 |
31800d1 2544a1 |
Quadratic twists by: -4 5 |