Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bv |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-122817609728000 = -1 · 226 · 53 · 114 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38881,-3011681] |
[a1,a2,a3,a4,a6] |
Generators |
[9165:129536:27] |
Generators of the group modulo torsion |
j |
-1693700041/32000 |
j-invariant |
L |
6.6243912039116 |
L(r)(E,1)/r! |
Ω |
0.1698039287157 |
Real period |
R |
3.2510001653165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720o1 9680ba1 38720bx1 |
Quadratic twists by: -4 8 -11 |