Atkin-Lehner |
2+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
53950o |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
-5208126911000 = -1 · 23 · 53 · 137 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1086,110568] |
[a1,a2,a3,a4,a6] |
Generators |
[312:5336:1] |
Generators of the group modulo torsion |
j |
-1131691848461/41665015288 |
j-invariant |
L |
5.614633340815 |
L(r)(E,1)/r! |
Ω |
0.63723092845845 |
Real period |
R |
0.62935620465499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53950bd1 |
Quadratic twists by: 5 |