Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3050d |
Isogeny class |
Conductor |
3050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2340 |
Modular degree for the optimal curve |
Δ |
-47656250 = -1 · 2 · 58 · 61 |
Discriminant |
Eigenvalues |
2+ 3 5- -1 6 -6 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8,-334] |
[a1,a2,a3,a4,a6] |
j |
135/122 |
j-invariant |
L |
2.8148923434116 |
L(r)(E,1)/r! |
Ω |
0.93829744780385 |
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 |
24400be1 97600bq1 27450ca1 3050h1 |
Quadratic twists by: -4 8 -3 5 |