Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650do |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2.2644656420715E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2548355,1549614147] |
[a1,a2,a3,a4,a6] |
Generators |
[-901:56250:1] [215:31698:1] |
Generators of the group modulo torsion |
j |
160677764412788449/1988008245440 |
j-invariant |
L |
15.483641039702 |
L(r)(E,1)/r! |
Ω |
0.21488309330542 |
Real period |
R |
2.0015587701535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850i2 19530bh2 |
Quadratic twists by: -3 5 |