Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650t |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-8146250000 = -1 · 24 · 57 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8588,302781] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-53:1] |
Generators of the group modulo torsion |
j |
-4483146738169/521360 |
j-invariant |
L |
4.9023867753102 |
L(r)(E,1)/r! |
Ω |
1.2602977156735 |
Real period |
R |
0.24311650306621 |
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 |
53200cc1 59850bi1 1330d1 46550by1 |
Quadratic twists by: -4 -3 5 -7 |