Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925bd |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7217372919659765625 = 310 · 58 · 74 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-776255,-229129378] |
[a1,a2,a3,a4,a6] |
Generators |
[-476:5925:1] |
Generators of the group modulo torsion |
j |
4541390686576801/633623960025 |
j-invariant |
L |
3.4117925577807 |
L(r)(E,1)/r! |
Ω |
0.16233268433983 |
Real period |
R |
2.6271608299766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9975o3 5985h4 |
Quadratic twists by: -3 5 |