Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944dg |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-589709627994669056 = -1 · 222 · 78 · 293 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45537,37150849] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:6272:1] |
Generators of the group modulo torsion |
j |
-338608873/19120976 |
j-invariant |
L |
3.0101224696839 |
L(r)(E,1)/r! |
Ω |
0.240157056974 |
Real period |
R |
1.5667468356147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944t1 22736bi1 12992x1 |
Quadratic twists by: -4 8 -7 |