Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bg |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-1419081846 = -1 · 2 · 3 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -5 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-2026] |
[a1,a2,a3,a4,a6] |
Generators |
[5894:1191:343] |
Generators of the group modulo torsion |
j |
-2401/6 |
j-invariant |
L |
5.6565829098356 |
L(r)(E,1)/r! |
Ω |
0.61351641566238 |
Real period |
R |
4.6099686702858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686c1 294b1 |
Quadratic twists by: -7 13 |