Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800bk |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
952812800000000 = 214 · 58 · 533 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 3 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49333,-3930963] |
[a1,a2,a3,a4,a6] |
Generators |
[2892:155025:1] |
Generators of the group modulo torsion |
j |
2074746880/148877 |
j-invariant |
L |
9.3247366780073 |
L(r)(E,1)/r! |
Ω |
0.32179218853083 |
Real period |
R |
3.2197234446406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800cq2 5300f2 84800i2 |
Quadratic twists by: -4 8 5 |