Atkin-Lehner |
3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775q |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-47985001171875 = -1 · 39 · 58 · 792 |
Discriminant |
Eigenvalues |
2 3+ 5- -1 4 -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3375,-341719] |
[a1,a2,a3,a4,a6] |
j |
-552960/6241 |
j-invariant |
L |
4.3306602343465 |
L(r)(E,1)/r! |
Ω |
0.27066626464666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17775r1 17775h1 |
Quadratic twists by: -3 5 |