Atkin-Lehner |
2+ 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200d |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11448000000 = 29 · 33 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-381608,90862212] |
[a1,a2,a3,a4,a6] |
Generators |
[2954:3227:8] |
Generators of the group modulo torsion |
j |
768222946338056/1431 |
j-invariant |
L |
4.2644028213961 |
L(r)(E,1)/r! |
Ω |
0.82570189946893 |
Real period |
R |
5.1645792974174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997316402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200dd4 5088f3 |
Quadratic twists by: -4 5 |