Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328d |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-34816574464 = -1 · 210 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768,3940] |
[a1,a2,a3,a4,a6] |
j |
415292/289 |
j-invariant |
L |
1.4691877742075 |
L(r)(E,1)/r! |
Ω |
0.73459388710375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6664d2 53312bv2 119952bo2 272c2 |
Quadratic twists by: -4 8 -3 -7 |