Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dw |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1684044880031250000 = -1 · 24 · 39 · 59 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229880,-75427253] |
[a1,a2,a3,a4,a6] |
Generators |
[9979:990635:1] |
Generators of the group modulo torsion |
j |
-4368317413923/5475734000 |
j-invariant |
L |
9.0961809999599 |
L(r)(E,1)/r! |
Ω |
0.1040932404001 |
Real period |
R |
5.4615584116655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150j1 16830a1 |
Quadratic twists by: -3 5 |