Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504r |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
63504384 = 216 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344,2544] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:32:1] [-6:66:1] |
Generators of the group modulo torsion |
j |
1102302937/15504 |
j-invariant |
L |
5.3208098874203 |
L(r)(E,1)/r! |
Ω |
1.9704151956926 |
Real period |
R |
2.7003496009636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938f1 62016cu1 46512y1 |
Quadratic twists by: -4 8 -3 |