Atkin-Lehner |
3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545b |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-510245296875 = -1 · 32 · 56 · 193 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-226,34298] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:189:1] |
Generators of the group modulo torsion |
j |
-186169411/74390625 |
j-invariant |
L |
2.9736061592379 |
L(r)(E,1)/r! |
Ω |
0.75389120507066 |
Real period |
R |
0.98608595302835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000166501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124545u2 |
Quadratic twists by: -19 |