Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352n |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
92974710528 = 28 · 32 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2172,36828] |
[a1,a2,a3,a4,a6] |
Generators |
[21:6:1] |
Generators of the group modulo torsion |
j |
109744/9 |
j-invariant |
L |
2.9745451624248 |
L(r)(E,1)/r! |
Ω |
1.0454130526273 |
Real period |
R |
2.8453300395948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
588e2 9408cy2 7056bv2 58800io2 |
Quadratic twists by: -4 8 -3 5 |