Atkin-Lehner |
3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205l |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
7392515625 = 36 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11+ -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-497,1144] |
[a1,a2,a3,a4,a6] |
Generators |
[52:311:1] [-11:77:1] |
Generators of the group modulo torsion |
j |
18588565449/10140625 |
j-invariant |
L |
5.2998034546764 |
L(r)(E,1)/r! |
Ω |
1.1512223334037 |
Real period |
R |
0.76727192493564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3245b1 |
Quadratic twists by: -3 |