Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520p |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2151700443648000 = -1 · 212 · 36 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20319,1940175] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1764:1] |
Generators of the group modulo torsion |
j |
1925134784/4465125 |
j-invariant |
L |
6.0380212025855 |
L(r)(E,1)/r! |
Ω |
0.32251005535859 |
Real period |
R |
0.78008177603847 |
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 |
23520b2 47040fe1 70560dx2 117600ew2 |
Quadratic twists by: -4 8 -3 5 |