Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200dx |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-24196800000000 = -1 · 212 · 3 · 58 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 -5 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1333,236963] |
[a1,a2,a3,a4,a6] |
Generators |
[14178:324683:27] |
Generators of the group modulo torsion |
j |
-163840/15123 |
j-invariant |
L |
7.0890632327674 |
L(r)(E,1)/r! |
Ω |
0.5539100521471 |
Real period |
R |
6.3991104774699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5325b1 85200ca1 |
Quadratic twists by: -4 5 |