Atkin-Lehner |
2- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50008h |
Isogeny class |
Conductor |
50008 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-78412544 = -1 · 28 · 73 · 19 · 47 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103,586] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-14:1] [-2:28:1] |
Generators of the group modulo torsion |
j |
-472058064/306299 |
j-invariant |
L |
5.9164612450624 |
L(r)(E,1)/r! |
Ω |
1.7836155230493 |
Real period |
R |
0.27642641069057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100016d1 |
Quadratic twists by: -4 |