Atkin-Lehner |
2- 3- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85284b |
Isogeny class |
Conductor |
85284 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-31968114846768 = -1 · 24 · 313 · 233 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2544,267509] |
[a1,a2,a3,a4,a6] |
Generators |
[35:632:1] |
Generators of the group modulo torsion |
j |
156108849152/2740750587 |
j-invariant |
L |
4.6341886453528 |
L(r)(E,1)/r! |
Ω |
0.49016550304077 |
Real period |
R |
4.7271672740631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28428a1 |
Quadratic twists by: -3 |