Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15048b |
Isogeny class |
Conductor |
15048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-3.6118248187195E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 7 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,482820,258713332] |
[a1,a2,a3,a4,a6] |
j |
66697871337344000/193534851826107 |
j-invariant |
L |
2.3185233383189 |
L(r)(E,1)/r! |
Ω |
0.14490770864493 |
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 |
30096i1 120384bp1 5016e1 |
Quadratic twists by: -4 8 -3 |