Atkin-Lehner |
5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445bb |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5056128 |
Modular degree for the optimal curve |
Δ |
2447671530057996025 = 52 · 78 · 198 |
Discriminant |
Eigenvalues |
1 -3 5- 7+ 5 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4558234,3746170063] |
[a1,a2,a3,a4,a6] |
j |
106979481/25 |
j-invariant |
L |
1.5065767875396 |
L(r)(E,1)/r! |
Ω |
0.25109611744851 |
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 |
88445j1 88445be1 |
Quadratic twists by: -7 -19 |