Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600dt |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-2821230000 = -1 · 24 · 38 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,-2362] |
[a1,a2,a3,a4,a6] |
Generators |
[14:54:1] |
Generators of the group modulo torsion |
j |
51200000/282123 |
j-invariant |
L |
6.6763327315296 |
L(r)(E,1)/r! |
Ω |
0.7184685932866 |
Real period |
R |
1.1615561198272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12900h1 51600bm1 |
Quadratic twists by: -4 5 |