Atkin-Lehner |
3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15225z |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7360 |
Modular degree for the optimal curve |
Δ |
-8326171875 = -1 · 3 · 59 · 72 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 1 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,167,-4256] |
[a1,a2,a3,a4,a6] |
j |
262144/4263 |
j-invariant |
L |
2.5553316141693 |
L(r)(E,1)/r! |
Ω |
0.63883290354232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45675bm1 15225h1 106575bi1 |
Quadratic twists by: -3 5 -7 |