Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975j |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-12028447265625 = -1 · 33 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3763,-189358] |
[a1,a2,a3,a4,a6] |
j |
-603439225/1231713 |
j-invariant |
L |
1.7169440030751 |
L(r)(E,1)/r! |
Ω |
0.28615733384585 |
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 |
29925o1 9975h1 69825u1 |
Quadratic twists by: -3 5 -7 |