Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944dm |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2836888219648 = -1 · 212 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3332,109760] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:148:1] [-14:392:1] |
Generators of the group modulo torsion |
j |
-8489664/5887 |
j-invariant |
L |
7.5003606954949 |
L(r)(E,1)/r! |
Ω |
0.7421131083178 |
Real period |
R |
1.2633452723305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944dl1 45472b1 12992z1 |
Quadratic twists by: -4 8 -7 |