Atkin-Lehner |
2- 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bs |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-247326131247750 = -1 · 2 · 314 · 53 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5422,-738619] |
[a1,a2,a3,a4,a6] |
Generators |
[28644660:212651339:314432] |
Generators of the group modulo torsion |
j |
141022117888651/1978609049982 |
j-invariant |
L |
9.6415917988305 |
L(r)(E,1)/r! |
Ω |
0.27165180871652 |
Real period |
R |
8.8731157766962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650be1 |
Quadratic twists by: 5 |