Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200da |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-51439104000000000 = -1 · 218 · 33 · 59 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-324208,-71994412] |
[a1,a2,a3,a4,a6] |
j |
-471092560541/6429888 |
j-invariant |
L |
4.7979103518245 |
L(r)(E,1)/r! |
Ω |
0.09995646552009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150v1 73200cb1 |
Quadratic twists by: -4 5 |