Atkin-Lehner |
2- 3- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42126x |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-77343336 = -1 · 23 · 34 · 7 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -6 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-357,2601] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-51:1] |
Generators of the group modulo torsion |
j |
-5032738790353/77343336 |
j-invariant |
L |
7.445603380642 |
L(r)(E,1)/r! |
Ω |
1.9375777515308 |
Real period |
R |
0.16011407746004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378g1 |
Quadratic twists by: -3 |