Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gh |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
812851200 = 213 · 34 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2296408,-1338669968] |
[a1,a2,a3,a4,a6] |
Generators |
[-47989858:531:54872] |
Generators of the group modulo torsion |
j |
266916252066900625/162 |
j-invariant |
L |
3.275046863352 |
L(r)(E,1)/r! |
Ω |
0.12264144987417 |
Real period |
R |
6.6760603094959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350bd2 58800kh2 58800ia2 |
Quadratic twists by: -4 5 -7 |