Atkin-Lehner |
11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30899f |
Isogeny class |
Conductor |
30899 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
399271394608058093 = 112 · 539 |
Discriminant |
Eigenvalues |
-1 -2 0 4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-759893,-253207124] |
[a1,a2,a3,a4,a6] |
Generators |
[-149571940071:9117050912:278445077] |
Generators of the group modulo torsion |
j |
14706125/121 |
j-invariant |
L |
2.8400854242176 |
L(r)(E,1)/r! |
Ω |
0.16178079497189 |
Real period |
R |
17.555145681607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30899e2 |
Quadratic twists by: 53 |