Atkin-Lehner |
2- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65800l |
Isogeny class |
Conductor |
65800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-56423500000000 = -1 · 28 · 59 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -6 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6833,424037] |
[a1,a2,a3,a4,a6] |
Generators |
[1209:-12250:27] |
Generators of the group modulo torsion |
j |
-70575104/112847 |
j-invariant |
L |
8.1385340422735 |
L(r)(E,1)/r! |
Ω |
0.56272493817631 |
Real period |
R |
1.8078401829706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65800f1 |
Quadratic twists by: 5 |