Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jp |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6313601925120000 = -1 · 236 · 3 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27592,3400788] |
[a1,a2,a3,a4,a6] |
Generators |
[-1662:32768:27] |
Generators of the group modulo torsion |
j |
18519167975/50331648 |
j-invariant |
L |
7.5143835314343 |
L(r)(E,1)/r! |
Ω |
0.29710582624322 |
Real period |
R |
2.1076618911555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350p2 58800fi2 58800gn2 |
Quadratic twists by: -4 5 -7 |