Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2940h |
Isogeny class |
Conductor |
2940 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-23520000 = -1 · 28 · 3 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,-225] |
[a1,a2,a3,a4,a6] |
j |
57344/1875 |
j-invariant |
L |
2.0570593578777 |
L(r)(E,1)/r! |
Ω |
1.0285296789388 |
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 |
11760bm1 47040bg1 8820x1 14700i1 |
Quadratic twists by: -4 8 -3 5 |