Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235bf |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-116424945 = -1 · 39 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -5 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,-516] |
[a1,a2,a3,a4,a6] |
Generators |
[14:33:1] |
Generators of the group modulo torsion |
j |
-28561/945 |
j-invariant |
L |
3.0424362413358 |
L(r)(E,1)/r! |
Ω |
0.81354327468537 |
Real period |
R |
1.8698674894647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745e1 53235v1 |
Quadratic twists by: -3 13 |