Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fs |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12348000000 = 28 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1108,-12788] |
[a1,a2,a3,a4,a6] |
Generators |
[61:378:1] |
Generators of the group modulo torsion |
j |
109744/9 |
j-invariant |
L |
4.7486694461103 |
L(r)(E,1)/r! |
Ω |
0.83174347637676 |
Real period |
R |
2.8546478456673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bg2 2352w2 58800io2 |
Quadratic twists by: -4 5 -7 |