Atkin-Lehner |
2+ 3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
14190c |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
624360000 = 26 · 3 · 54 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-258,948] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:46:1] |
Generators of the group modulo torsion |
j |
1910778533929/624360000 |
j-invariant |
L |
2.1123965179911 |
L(r)(E,1)/r! |
Ω |
1.498448133575 |
Real period |
R |
0.70486140649772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520bi1 42570bc1 70950bx1 |
Quadratic twists by: -4 -3 5 |