Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200cc |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15168600000000 = -1 · 29 · 33 · 58 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4992,127512] |
[a1,a2,a3,a4,a6] |
Generators |
[41:632:1] |
Generators of the group modulo torsion |
j |
1719374392/1896075 |
j-invariant |
L |
4.347062805383 |
L(r)(E,1)/r! |
Ω |
0.46511263130601 |
Real period |
R |
4.6731291203186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200dh2 25440o2 |
Quadratic twists by: -4 5 |