Atkin-Lehner |
2+ 3- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
12126c |
Isogeny class |
Conductor |
12126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
137477409408 = 27 · 312 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1379685,-623875376] |
[a1,a2,a3,a4,a6] |
Generators |
[206830:4933971:125] |
Generators of the group modulo torsion |
j |
290444453657669577150793/137477409408 |
j-invariant |
L |
3.8207707470929 |
L(r)(E,1)/r! |
Ω |
0.13930111952244 |
Real period |
R |
9.1427136651679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97008t4 36378h4 |
Quadratic twists by: -4 -3 |