Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225x |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
234164073164765625 = 316 · 57 · 74 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46422751,-121746983227] |
[a1,a2,a3,a4,a6] |
j |
708102767635831683894241/14986500682545 |
j-invariant |
L |
3.7016624382487 |
L(r)(E,1)/r! |
Ω |
0.057838475597636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45675v8 3045e7 106575s8 |
Quadratic twists by: -3 5 -7 |