Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dt |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1543500000000000 = -1 · 211 · 32 · 512 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14408,-2008812] |
[a1,a2,a3,a4,a6] |
Generators |
[298:4500:1] |
Generators of the group modulo torsion |
j |
-30138446/140625 |
j-invariant |
L |
8.1865096194396 |
L(r)(E,1)/r! |
Ω |
0.19736644771466 |
Real period |
R |
2.5924206324561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400u2 11760i2 58800bk2 |
Quadratic twists by: -4 5 -7 |