Atkin-Lehner |
2+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814k |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3744000 |
Modular degree for the optimal curve |
Δ |
1.8325139584927E+19 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 -2 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70334255,-227043712478] |
[a1,a2,a3,a4,a6] |
Generators |
[-263708455067:121302779980:54439939] |
Generators of the group modulo torsion |
j |
3628559153588772781/1728053248 |
j-invariant |
L |
1.9753059043553 |
L(r)(E,1)/r! |
Ω |
0.052132415133744 |
Real period |
R |
9.4725416964079 |
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 |
34814y1 |
Quadratic twists by: 13 |