Atkin-Lehner |
2- 5+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87550p |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-34199218750 = -1 · 2 · 510 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,612,-6469] |
[a1,a2,a3,a4,a6] |
Generators |
[1768108833458730:1497577814438101:189415907407000] |
Generators of the group modulo torsion |
j |
2595575/3502 |
j-invariant |
L |
15.689409146024 |
L(r)(E,1)/r! |
Ω |
0.61977262510819 |
Real period |
R |
25.314782406347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550g1 |
Quadratic twists by: 5 |