Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600ba |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-16100167500000000 = -1 · 28 · 34 · 510 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -3 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18033,6169563] |
[a1,a2,a3,a4,a6] |
Generators |
[198:3225:1] |
Generators of the group modulo torsion |
j |
-162140591104/4025041875 |
j-invariant |
L |
7.0522775859939 |
L(r)(E,1)/r! |
Ω |
0.32824984814326 |
Real period |
R |
0.8951867032986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800u1 10320b1 |
Quadratic twists by: -4 5 |