Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225x |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2263677978515625 = 32 · 514 · 72 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-198376,33914273] |
[a1,a2,a3,a4,a6] |
j |
55254534707337841/144875390625 |
j-invariant |
L |
3.7016624382487 |
L(r)(E,1)/r! |
Ω |
0.46270780478109 |
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 |
45675v2 3045e2 106575s2 |
Quadratic twists by: -3 5 -7 |