Atkin-Lehner |
2- 3+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930bd |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
150080 |
Modular degree for the optimal curve |
Δ |
-114656550468750 = -1 · 2 · 310 · 57 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 2 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21610,-1335835] |
[a1,a2,a3,a4,a6] |
j |
-1116064434736859041/114656550468750 |
j-invariant |
L |
5.4808211689879 |
L(r)(E,1)/r! |
Ω |
0.19574361317814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790x1 109650bd1 |
Quadratic twists by: -3 5 |