Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
665b |
Isogeny class |
Conductor |
665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28511875 = -1 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
1 0 5- 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,76,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:1] |
Generators of the group modulo torsion |
j |
48188806119/28511875 |
j-invariant |
L |
2.5513395946814 |
L(r)(E,1)/r! |
Ω |
1.2301215626096 |
Real period |
R |
1.0370274256753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10640z4 42560a3 5985i4 3325g4 |
Quadratic twists by: -4 8 -3 5 |