Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5985o |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3248 |
Modular degree for the optimal curve |
Δ |
-9210915 = -1 · 36 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 3 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-873,9929] |
[a1,a2,a3,a4,a6] |
j |
-100934332416/12635 |
j-invariant |
L |
4.4433980715741 |
L(r)(E,1)/r! |
Ω |
2.2216990357871 |
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 |
95760db1 665e1 29925y1 41895bm1 |
Quadratic twists by: -4 -3 5 -7 |