Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33320d |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83328 |
Modular degree for the optimal curve |
Δ |
-17060121487360 = -1 · 211 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 3 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51107,4451454] |
[a1,a2,a3,a4,a6] |
j |
-1250404722/1445 |
j-invariant |
L |
1.3817290639571 |
L(r)(E,1)/r! |
Ω |
0.69086453198207 |
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 |
66640k1 33320b1 |
Quadratic twists by: -4 -7 |