Atkin-Lehner |
3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19635i |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
5156861234765625 = 35 · 58 · 74 · 113 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11+ -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-124757,-16657224] |
[a1,a2,a3,a4,a6] |
j |
214745424817085489881/5156861234765625 |
j-invariant |
L |
1.0176029136513 |
L(r)(E,1)/r! |
Ω |
0.25440072841283 |
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 |
58905x1 98175bj1 |
Quadratic twists by: -3 5 |