Atkin-Lehner |
2+ 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93002i |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
888128923136 = 29 · 73 · 13 · 733 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- 1 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20318,-1122316] |
[a1,a2,a3,a4,a6] |
j |
2704617525358783/2589297152 |
j-invariant |
L |
2.399400548083 |
L(r)(E,1)/r! |
Ω |
0.39990008300404 |
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 |
93002a1 |
Quadratic twists by: -7 |