Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150br |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-1656324450 = -1 · 2 · 311 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1892637,-1001714769] |
[a1,a2,a3,a4,a6] |
Generators |
[10596154327665:419091770840649:4212283375] |
Generators of the group modulo torsion |
j |
-41139431161398468985/90882 |
j-invariant |
L |
5.2533848193608 |
L(r)(E,1)/r! |
Ω |
0.06435802627643 |
Real period |
R |
20.406875114521 |
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 |
28050di1 84150gk1 |
Quadratic twists by: -3 5 |