Atkin-Lehner |
3- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
63189j |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
19024754553 = 38 · 72 · 17 · 592 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1229,-14884] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2887:1] |
Generators of the group modulo torsion |
j |
281397674377/26097057 |
j-invariant |
L |
5.4593399280893 |
L(r)(E,1)/r! |
Ω |
0.81116961320594 |
Real period |
R |
3.3651038199473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21063d1 |
Quadratic twists by: -3 |