Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15225k |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-807626491875 = -1 · 32 · 54 · 7 · 295 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 2 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1258,-46107] |
[a1,a2,a3,a4,a6] |
j |
-352558182400/1292202387 |
j-invariant |
L |
2.2032403122499 |
L(r)(E,1)/r! |
Ω |
0.36720671870831 |
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 |
45675bh1 15225v2 106575cw1 |
Quadratic twists by: -3 5 -7 |