Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126ca |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
-24091661491881984 = -1 · 211 · 317 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-160533,-25818507] |
[a1,a2,a3,a4,a6] |
Generators |
[27714463:7863948672:343] |
Generators of the group modulo torsion |
j |
-12808391413763617/674439727104 |
j-invariant |
L |
6.6160388408512 |
L(r)(E,1)/r! |
Ω |
0.11889123191671 |
Real period |
R |
13.911956956364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042dn1 126126bh1 |
Quadratic twists by: -3 -7 |