Atkin-Lehner |
3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665bv |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-754606125 = -1 · 36 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43,1306] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:34:1] |
Generators of the group modulo torsion |
j |
251559/21125 |
j-invariant |
L |
3.6653616157709 |
L(r)(E,1)/r! |
Ω |
1.2230501795945 |
Real period |
R |
0.49948367844649 |
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 |
3185d1 28665s1 |
Quadratic twists by: -3 -7 |