Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13920w |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-144322560 = -1 · 212 · 35 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 5 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,99,405] |
[a1,a2,a3,a4,a6] |
Generators |
[11:52:1] |
Generators of the group modulo torsion |
j |
25934336/35235 |
j-invariant |
L |
4.7155512310716 |
L(r)(E,1)/r! |
Ω |
1.2380978284028 |
Real period |
R |
1.9043532436991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13920o1 27840cd1 41760q1 69600x1 |
Quadratic twists by: -4 8 -3 5 |