Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094h |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-668471298235564032 = -1 · 221 · 39 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 11+ -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-340632,86124352] |
[a1,a2,a3,a4,a6] |
j |
-4504796521098875/688933306368 |
j-invariant |
L |
1.1090289757659 |
L(r)(E,1)/r! |
Ω |
0.27725724391096 |
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 |
16698x1 50094bq1 |
Quadratic twists by: -3 -11 |