Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080p |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-517484517036001200 = -1 · 24 · 35 · 52 · 78 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-767095,-261157732] |
[a1,a2,a3,a4,a6] |
Generators |
[24467216:1869574665:4096] |
Generators of the group modulo torsion |
j |
-3119979579729710503936/32342782314750075 |
j-invariant |
L |
7.0503613319364 |
L(r)(E,1)/r! |
Ω |
0.080609987964248 |
Real period |
R |
8.7462627274587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040d1 |
Quadratic twists by: -4 |