Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488q |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-238436352 = -1 · 214 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177,1233] |
[a1,a2,a3,a4,a6] |
j |
-768208/297 |
j-invariant |
L |
3.3069660701702 |
L(r)(E,1)/r! |
Ω |
1.6534831817297 |
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 |
103488im1 6468s1 103488ck1 |
Quadratic twists by: -4 8 -7 |