Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240p |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-60923061449164800 = -1 · 211 · 310 · 52 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111603,-18626798] |
[a1,a2,a3,a4,a6] |
Generators |
[1202:39798:1] |
Generators of the group modulo torsion |
j |
-102965999263202/40806020025 |
j-invariant |
L |
6.1400843520063 |
L(r)(E,1)/r! |
Ω |
0.1280951136242 |
Real period |
R |
2.9958619118499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120i3 16080l4 |
Quadratic twists by: -4 -3 |