Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bu |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1505907200 = -1 · 29 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 5 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,3548] |
[a1,a2,a3,a4,a6] |
Generators |
[79:686:1] |
Generators of the group modulo torsion |
j |
-5000 |
j-invariant |
L |
7.1631405819037 |
L(r)(E,1)/r! |
Ω |
1.4465311446749 |
Real period |
R |
2.4759717785107 |
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 |
39200m1 78400bx1 39200be1 800f1 |
Quadratic twists by: -4 8 5 -7 |