Atkin-Lehner |
3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205o |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
124357489245 = 310 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19562,-1048044] |
[a1,a2,a3,a4,a6] |
Generators |
[299:4296:1] |
Generators of the group modulo torsion |
j |
1135573198803289/170586405 |
j-invariant |
L |
3.9079454104987 |
L(r)(E,1)/r! |
Ω |
0.40369362410782 |
Real period |
R |
4.8402367254814 |
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 |
9735a2 |
Quadratic twists by: -3 |