Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400n |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5313600000000 = -1 · 212 · 34 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3967,53937] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-500:1] [23:396:1] |
Generators of the group modulo torsion |
j |
107850176/83025 |
j-invariant |
L |
9.0421945593444 |
L(r)(E,1)/r! |
Ω |
0.48995156602549 |
Real period |
R |
2.3069103122388 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400cq2 19680bb2 |
Quadratic twists by: -4 5 |