Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352p |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-276710448 = -1 · 24 · 3 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-804] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1372:1] |
Generators of the group modulo torsion |
j |
-16384/147 |
j-invariant |
L |
2.1481709694956 |
L(r)(E,1)/r! |
Ω |
0.73511215600669 |
Real period |
R |
2.9222356778386 |
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 |
588f1 9408dd1 7056cb1 58800iq1 |
Quadratic twists by: -4 8 -3 5 |