Atkin-Lehner |
3- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835bf |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
120320 |
Modular degree for the optimal curve |
Δ |
-45354060675 = -1 · 311 · 52 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11- -3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2127,-39123] |
[a1,a2,a3,a4,a6] |
j |
-1459817795584/62214075 |
j-invariant |
L |
5.6100398935057 |
L(r)(E,1)/r! |
Ω |
0.35062749400493 |
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 |
21945s1 |
Quadratic twists by: -3 |