Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14415g |
Isogeny class |
Conductor |
14415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
199688328225 = 32 · 52 · 316 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4825,-127600] |
[a1,a2,a3,a4,a6] |
j |
13997521/225 |
j-invariant |
L |
2.293548531311 |
L(r)(E,1)/r! |
Ω |
0.57338713282774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43245b2 72075f2 15a3 |
Quadratic twists by: -3 5 -31 |