Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83232x |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-976382817501888 = -1 · 26 · 37 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 2 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14739,1336336] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1156:1] |
Generators of the group modulo torsion |
j |
1088/3 |
j-invariant |
L |
5.8807410111689 |
L(r)(E,1)/r! |
Ω |
0.34734134035617 |
Real period |
R |
1.4108938207945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83232y1 27744bc1 83232l1 |
Quadratic twists by: -4 -3 17 |