Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352l |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-56184274944 = -1 · 219 · 37 · 72 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 0 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2256,-42048] |
[a1,a2,a3,a4,a6] |
Generators |
[56:64:1] |
Generators of the group modulo torsion |
j |
-6329617441/279936 |
j-invariant |
L |
2.5195914407236 |
L(r)(E,1)/r! |
Ω |
0.345459609218 |
Real period |
R |
1.8233618153126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
294b2 9408ct2 7056bs2 58800jb2 |
Quadratic twists by: -4 8 -3 5 |