Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600bj |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1393200000000 = -1 · 210 · 34 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 1 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2792,-412] |
[a1,a2,a3,a4,a6] |
Generators |
[2:72:1] [8:150:1] |
Generators of the group modulo torsion |
j |
6015260/3483 |
j-invariant |
L |
10.862879725026 |
L(r)(E,1)/r! |
Ω |
0.50853144679632 |
Real period |
R |
0.4450265479098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800y1 51600c1 |
Quadratic twists by: -4 5 |