Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450ct |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
770 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-172683958482000000 = -1 · 27 · 311 · 56 · 75 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27462,19918692] |
[a1,a2,a3,a4,a6] |
Generators |
[912:-28806:1] |
Generators of the group modulo torsion |
j |
146588258764583/11051773342848 |
j-invariant |
L |
11.139662825545 |
L(r)(E,1)/r! |
Ω |
0.24558925181985 |
Real period |
R |
0.058907686193214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350bs1 1218a1 |
Quadratic twists by: -3 5 |