Atkin-Lehner |
3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13455d |
Isogeny class |
Conductor |
13455 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
444555383041794375 = 37 · 54 · 133 · 236 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-259335,-39366950] |
[a1,a2,a3,a4,a6] |
Generators |
[-3026:18487:8] |
Generators of the group modulo torsion |
j |
2645943253854280561/609815340249375 |
j-invariant |
L |
4.9320852238521 |
L(r)(E,1)/r! |
Ω |
0.21506943760914 |
Real period |
R |
3.8220874760888 |
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 |
4485b2 67275n2 |
Quadratic twists by: -3 5 |