Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262g |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-30647607187931136 = -1 · 216 · 35 · 13 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10326,-8436780] |
[a1,a2,a3,a4,a6] |
Generators |
[24792378924:-721185168022:29503629] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
2.5844954556279 |
L(r)(E,1)/r! |
Ω |
0.16590747576738 |
Real period |
R |
15.577932481224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786bn1 78a1 |
Quadratic twists by: -3 -23 |