Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
53400j |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
348480 |
Modular degree for the optimal curve |
Δ |
-6306433200000000 = -1 · 210 · 311 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11792,-3784912] |
[a1,a2,a3,a4,a6] |
Generators |
[308:5400:1] |
Generators of the group modulo torsion |
j |
453303740/15766083 |
j-invariant |
L |
6.0613054613923 |
L(r)(E,1)/r! |
Ω |
0.20390167476539 |
Real period |
R |
0.45040317418808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106800e1 53400o1 |
Quadratic twists by: -4 5 |