Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200d |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4351812500000000 = 28 · 512 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54908,-3819812] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:588:1] |
Generators of the group modulo torsion |
j |
4576974631504/1087953125 |
j-invariant |
L |
3.4832919744241 |
L(r)(E,1)/r! |
Ω |
0.31725446501598 |
Real period |
R |
2.7448723029932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600s2 16240c2 |
Quadratic twists by: -4 5 |