Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730be |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44880 |
Modular degree for the optimal curve |
Δ |
-820557530 = -1 · 2 · 5 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3 5- -2 4 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1722,-27101] |
[a1,a2,a3,a4,a6] |
j |
-116930169/170 |
j-invariant |
L |
9.2636713002519 |
L(r)(E,1)/r! |
Ω |
0.37054685201005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
170e1 |
Quadratic twists by: 13 |