Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600cl |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-130252800000000 = -1 · 221 · 3 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2792,-547088] |
[a1,a2,a3,a4,a6] |
Generators |
[2970606:25152562:29791] |
Generators of the group modulo torsion |
j |
1503815/81408 |
j-invariant |
L |
6.2952146482442 |
L(r)(E,1)/r! |
Ω |
0.27988301210008 |
Real period |
R |
11.246153528456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950ba1 63600dg1 |
Quadratic twists by: -4 5 |