Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200cd |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
858600000000 = 29 · 34 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353408,-80747688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2241977221:-21412728:6539203] |
Generators of the group modulo torsion |
j |
610188590591432/107325 |
j-invariant |
L |
4.7274244370874 |
L(r)(E,1)/r! |
Ω |
0.19580796901066 |
Real period |
R |
12.071583161201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200di4 25440l4 |
Quadratic twists by: -4 5 |