Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200n |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
142100000000 = 28 · 58 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3575,-80250] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:28:1] |
Generators of the group modulo torsion |
j |
1263257424/35525 |
j-invariant |
L |
6.6770024683216 |
L(r)(E,1)/r! |
Ω |
0.61848153071074 |
Real period |
R |
2.698949820164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600o2 16240b2 |
Quadratic twists by: -4 5 |