Atkin-Lehner |
5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52675m |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-1976135546875 = -1 · 58 · 76 · 43 |
Discriminant |
Eigenvalues |
0 2 5- 7- 1 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4083,122443] |
[a1,a2,a3,a4,a6] |
Generators |
[586:3671:8] |
Generators of the group modulo torsion |
j |
-163840/43 |
j-invariant |
L |
8.1826244164968 |
L(r)(E,1)/r! |
Ω |
0.78898213380871 |
Real period |
R |
1.7285191611486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52675g1 1075f1 |
Quadratic twists by: 5 -7 |