Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944dw |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-636608 = -1 · 26 · 73 · 29 |
Discriminant |
Eigenvalues |
2- -1 0 7- 2 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-723,7729] |
[a1,a2,a3,a4,a6] |
Generators |
[16:1:1] [40:203:1] |
Generators of the group modulo torsion |
j |
-1906624000/29 |
j-invariant |
L |
9.7069176230059 |
L(r)(E,1)/r! |
Ω |
2.6374784079714 |
Real period |
R |
1.8401890218581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944do1 45472e1 90944dn1 |
Quadratic twists by: -4 8 -7 |