Atkin-Lehner |
2- 3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bw |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-879750 = -1 · 2 · 32 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-590048,174207431] |
[a1,a2,a3,a4,a6] |
j |
-181750566434422804181/7038 |
j-invariant |
L |
4.1441525778808 |
L(r)(E,1)/r! |
Ω |
1.0360381443399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650z1 |
Quadratic twists by: 5 |