Atkin-Lehner |
2+ 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176j |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
-47684671488 = -1 · 211 · 36 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 0 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,-9934] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-164:1] |
Generators of the group modulo torsion |
j |
5848414/31939 |
j-invariant |
L |
3.4074431652794 |
L(r)(E,1)/r! |
Ω |
0.56780404716936 |
Real period |
R |
0.75013624709942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56088e1 12464a1 |
Quadratic twists by: -4 -3 |