Atkin-Lehner |
2+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38950m |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-24928000 = -1 · 28 · 53 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,54,188] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] [2:16:1] |
Generators of the group modulo torsion |
j |
143055667/199424 |
j-invariant |
L |
4.6855685505397 |
L(r)(E,1)/r! |
Ω |
1.4357167045811 |
Real period |
R |
3.2635745865397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38950w1 |
Quadratic twists by: 5 |