Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800gn |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-102006539550720000 = -1 · 220 · 33 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-706008,-228611088] |
[a1,a2,a3,a4,a6] |
Generators |
[26724:173440:27] |
Generators of the group modulo torsion |
j |
-2637114025/6912 |
j-invariant |
L |
5.580479094494 |
L(r)(E,1)/r! |
Ω |
0.082337735168114 |
Real period |
R |
5.6479562328596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350bf1 58800hs1 58800jp1 |
Quadratic twists by: -4 5 -7 |