Atkin-Lehner |
5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
2945a |
Isogeny class |
Conductor |
2945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-279775 = -1 · 52 · 192 · 31 |
Discriminant |
Eigenvalues |
1 0 5+ 0 6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10,-25] |
[a1,a2,a3,a4,a6] |
j |
104487111/279775 |
j-invariant |
L |
1.5892970690725 |
L(r)(E,1)/r! |
Ω |
1.5892970690725 |
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 |
47120l1 26505k1 14725a1 55955b1 |
Quadratic twists by: -4 -3 5 -19 |