Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49588a |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26064 |
Modular degree for the optimal curve |
Δ |
155507968 = 28 · 74 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11+ 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5357,152713] |
[a1,a2,a3,a4,a6] |
j |
27665440768/253 |
j-invariant |
L |
1.6439569199662 |
L(r)(E,1)/r! |
Ω |
1.6439569198921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49588c1 |
Quadratic twists by: -7 |