Atkin-Lehner |
2- 3- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85284c |
Isogeny class |
Conductor |
85284 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
-82896048 = -1 · 24 · 37 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,7081] |
[a1,a2,a3,a4,a6] |
Generators |
[14:9:1] [-4:99:1] |
Generators of the group modulo torsion |
j |
-3196715008/7107 |
j-invariant |
L |
9.3855932404752 |
L(r)(E,1)/r! |
Ω |
1.9255759759206 |
Real period |
R |
0.40618120490133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28428c1 |
Quadratic twists by: -3 |