Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050j |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-188437500 = -1 · 22 · 32 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,124,398] |
[a1,a2,a3,a4,a6] |
j |
13651919/12060 |
j-invariant |
L |
2.3373693994082 |
L(r)(E,1)/r! |
Ω |
1.1686846997041 |
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 |
80400by1 30150ce1 2010g1 |
Quadratic twists by: -4 -3 5 |