Atkin-Lehner |
3- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115275r |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
151362334072265625 = 38 · 510 · 292 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-894813,-325333008] |
[a1,a2,a3,a4,a6] |
Generators |
[-4386:8025:8] |
Generators of the group modulo torsion |
j |
5071081278115942921/9687189380625 |
j-invariant |
L |
5.8192903240218 |
L(r)(E,1)/r! |
Ω |
0.15524453422014 |
Real period |
R |
4.6855839117323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804298 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23055e2 |
Quadratic twists by: 5 |