Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330h |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-545923887595520 = -1 · 216 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11198,1212208] |
[a1,a2,a3,a4,a6] |
j |
-26934258841/94699520 |
j-invariant |
L |
1.8191107419379 |
L(r)(E,1)/r! |
Ω |
0.45477768548448 |
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 |
66640bs1 74970cl1 41650bi1 8330f1 |
Quadratic twists by: -4 -3 5 -7 |