Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262d |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-763636212432617472 = -1 · 214 · 34 · 132 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2640514,-1653144332] |
[a1,a2,a3,a4,a6] |
Generators |
[5863745994156:80072750198378:2979767519] |
Generators of the group modulo torsion |
j |
-13753789599860857/5158453248 |
j-invariant |
L |
4.0163966316704 |
L(r)(E,1)/r! |
Ω |
0.059215806444072 |
Real period |
R |
16.956606997594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786bo1 1794d1 |
Quadratic twists by: -3 -23 |