Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8520h |
Isogeny class |
Conductor |
8520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
90738000 = 24 · 32 · 53 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-351,-2610] |
[a1,a2,a3,a4,a6] |
j |
299751798784/5671125 |
j-invariant |
L |
2.207998223087 |
L(r)(E,1)/r! |
Ω |
1.1039991115435 |
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 |
17040b1 68160k1 25560n1 42600o1 |
Quadratic twists by: -4 8 -3 5 |