Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3050g |
Isogeny class |
Conductor |
3050 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-2835628236800 = -1 · 213 · 52 · 614 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -3 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18840,-993893] |
[a1,a2,a3,a4,a6] |
j |
-29580450758086905/113425129472 |
j-invariant |
L |
5.2963272048133 |
L(r)(E,1)/r! |
Ω |
0.20370489249282 |
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 |
24400s1 97600w1 27450q1 3050e1 |
Quadratic twists by: -4 8 -3 5 |