Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bt |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8051082037031250 = 2 · 318 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1599417,778945491] |
[a1,a2,a3,a4,a6] |
Generators |
[739:18:1] |
Generators of the group modulo torsion |
j |
39724773881792329/706816530 |
j-invariant |
L |
4.9226880227688 |
L(r)(E,1)/r! |
Ω |
0.38127035168112 |
Real period |
R |
3.2278198403493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950cr3 11970bv4 |
Quadratic twists by: -3 5 |