Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138n |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54400 |
Modular degree for the optimal curve |
Δ |
-79691053005984 = -1 · 25 · 3 · 7 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4197,441712] |
[a1,a2,a3,a4,a6] |
Generators |
[40600:414329:343] |
Generators of the group modulo torsion |
j |
-68921/672 |
j-invariant |
L |
4.9587674917654 |
L(r)(E,1)/r! |
Ω |
0.52030765621583 |
Real period |
R |
4.7652263353476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104bo1 36414cy1 84966bd1 12138d1 |
Quadratic twists by: -4 -3 -7 17 |