Atkin-Lehner |
3- 5- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29205k |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
3.301187454501E+19 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2292849,1307991280] |
[a1,a2,a3,a4,a6] |
Generators |
[756:2122:1] |
Generators of the group modulo torsion |
j |
1828616581180443279889/45283778525390625 |
j-invariant |
L |
5.6817097929458 |
L(r)(E,1)/r! |
Ω |
0.20704786927224 |
Real period |
R |
2.7441527473413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735c1 |
Quadratic twists by: -3 |