Atkin-Lehner |
2+ 3- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
29256c |
Isogeny class |
Conductor |
29256 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
419200 |
Modular degree for the optimal curve |
Δ |
-581593692489329664 = -1 · 210 · 310 · 23 · 535 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 -2 -3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71264,-37438992] |
[a1,a2,a3,a4,a6] |
Generators |
[436:3816:1] |
Generators of the group modulo torsion |
j |
-39087728736753028/567962590321611 |
j-invariant |
L |
6.7991246820471 |
L(r)(E,1)/r! |
Ω |
0.12440703878922 |
Real period |
R |
0.54652250774706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58512b1 87768l1 |
Quadratic twists by: -4 -3 |