Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650bi |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-66500 = -1 · 22 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28928,-1905819] |
[a1,a2,a3,a4,a6] |
Generators |
[7095:76189:27] |
Generators of the group modulo torsion |
j |
-21417553667311829/532 |
j-invariant |
L |
5.0781125328579 |
L(r)(E,1)/r! |
Ω |
0.18303741707287 |
Real period |
R |
6.9358940566182 |
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 |
53200cz1 59850dk1 6650l1 46550ct1 |
Quadratic twists by: -4 -3 5 -7 |