Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352n |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
1936973136 = 24 · 3 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,-2960] |
[a1,a2,a3,a4,a6] |
Generators |
[5472:404740:1] |
Generators of the group modulo torsion |
j |
16384/3 |
j-invariant |
L |
2.9745451624248 |
L(r)(E,1)/r! |
Ω |
1.0454130526273 |
Real period |
R |
5.6906600791895 |
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 |
588e1 9408cy1 7056bv1 58800io1 |
Quadratic twists by: -4 8 -3 5 |