Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150gc |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-234305156250 = -1 · 2 · 36 · 57 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1120,17997] |
[a1,a2,a3,a4,a6] |
Generators |
[822:8385:8] |
Generators of the group modulo torsion |
j |
13651919/20570 |
j-invariant |
L |
9.1735787893625 |
L(r)(E,1)/r! |
Ω |
0.67328006433363 |
Real period |
R |
3.4063012087927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350b1 16830w1 |
Quadratic twists by: -3 5 |