Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400w |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53800200000000 = 29 · 38 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-274008,55114488] |
[a1,a2,a3,a4,a6] |
Generators |
[78:5850:1] |
Generators of the group modulo torsion |
j |
284397018030728/6725025 |
j-invariant |
L |
8.6776460124414 |
L(r)(E,1)/r! |
Ω |
0.58318262584303 |
Real period |
R |
1.8599761059743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400d4 19680t3 |
Quadratic twists by: -4 5 |