Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856n |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2115585412175757312 = -1 · 218 · 32 · 7 · 716 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15270848,22974237696] |
[a1,a2,a3,a4,a6] |
Generators |
[32:149952:1] |
Generators of the group modulo torsion |
j |
-96150878306977529778625/516500344769472 |
j-invariant |
L |
4.0548088942029 |
L(r)(E,1)/r! |
Ω |
0.23145623355104 |
Real period |
R |
1.4598904337094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2982j3 95424cc3 71568be3 |
Quadratic twists by: -4 8 -3 |