Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bx |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16087680 |
Modular degree for the optimal curve |
Δ |
1.501424632218E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75759941,172257564141] |
[a1,a2,a3,a4,a6] |
Generators |
[390101849866510224855871901548:26967037789061547611193103498029:37325063014157548268114741] |
Generators of the group modulo torsion |
j |
1914902401024/597871125 |
j-invariant |
L |
5.8147272404639 |
L(r)(E,1)/r! |
Ω |
0.064843448276567 |
Real period |
R |
44.836659639562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5415i1 86640cw1 |
Quadratic twists by: -4 -19 |