Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150x |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-173559375000 = -1 · 23 · 33 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-867,22541] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:153:1] [-5:166:1] |
Generators of the group modulo torsion |
j |
-6838155/16456 |
j-invariant |
L |
7.4575896589198 |
L(r)(E,1)/r! |
Ω |
0.89969283198451 |
Real period |
R |
0.69075331360808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150er1 84150dz1 |
Quadratic twists by: -3 5 |