Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102s |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1979593668 = -1 · 22 · 37 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 -1 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3159,69169] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:263:1] [20:-127:1] |
Generators of the group modulo torsion |
j |
-4783242408049/2715492 |
j-invariant |
L |
4.0576629337897 |
L(r)(E,1)/r! |
Ω |
1.4575809912403 |
Real period |
R |
0.11599306654247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034f1 |
Quadratic twists by: -3 |