Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bs |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-49221088466128128 = -1 · 28 · 36 · 116 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26792690,-53372567311] |
[a1,a2,a3,a4,a6] |
Generators |
[210819:12367741:27] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
12.40100169808 |
L(r)(E,1)/r! |
Ω |
0.033179167114794 |
Real period |
R |
7.7866391119363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826b2 954e2 |
Quadratic twists by: -3 -11 |