Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930bb |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
396800 |
Modular degree for the optimal curve |
Δ |
-11663049544380000 = -1 · 25 · 37 · 54 · 13 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-447683,-115298269] |
[a1,a2,a3,a4,a6] |
Generators |
[3345:187552:1] |
Generators of the group modulo torsion |
j |
-13611534355369215721/15998696220000 |
j-invariant |
L |
8.5000727016264 |
L(r)(E,1)/r! |
Ω |
0.092277618809448 |
Real period |
R |
0.92114131371111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11310g1 |
Quadratic twists by: -3 |