Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262a |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-745738488703728 = -1 · 24 · 34 · 132 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -6 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82270,9142948] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:3455:1] |
Generators of the group modulo torsion |
j |
-415996269625/5037552 |
j-invariant |
L |
1.8961757804393 |
L(r)(E,1)/r! |
Ω |
0.50797543501778 |
Real period |
R |
0.4666012492254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786bg1 1794a1 |
Quadratic twists by: -3 -23 |