Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9282s |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-2111172336 = -1 · 24 · 38 · 7 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,311,-631] |
[a1,a2,a3,a4,a6] |
j |
3325964415983/2111172336 |
j-invariant |
L |
3.3691890272238 |
L(r)(E,1)/r! |
Ω |
0.84229725680594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256cc1 27846g1 64974bk1 120666z1 |
Quadratic twists by: -4 -3 -7 13 |