Atkin-Lehner |
37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58867a |
Isogeny class |
Conductor |
58867 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1017792 |
Modular degree for the optimal curve |
Δ |
-279266703942896947 = -1 · 378 · 433 |
Discriminant |
Eigenvalues |
2 0 2 -4 -5 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-97199,27973119] |
[a1,a2,a3,a4,a6] |
Generators |
[24103322226:1379229302409:7301384] |
Generators of the group modulo torsion |
j |
-39582093312/108845083 |
j-invariant |
L |
10.177008612075 |
L(r)(E,1)/r! |
Ω |
0.27236187428396 |
Real period |
R |
18.682880338576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1591a1 |
Quadratic twists by: 37 |