Atkin-Lehner |
2- 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113900a |
Isogeny class |
Conductor |
113900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-556291244800 = -1 · 28 · 52 · 172 · 673 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1280,-39980] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3417:1] |
Generators of the group modulo torsion |
j |
-36238786560/86920507 |
j-invariant |
L |
2.9404212055571 |
L(r)(E,1)/r! |
Ω |
0.37235155088293 |
Real period |
R |
1.3161492365241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998268218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113900i1 |
Quadratic twists by: 5 |