Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944ck |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-19173451415552 = -1 · 214 · 79 · 29 |
Discriminant |
Eigenvalues |
2+ 3 0 7- -2 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7840,340256] |
[a1,a2,a3,a4,a6] |
Generators |
[1302:116963:216] |
Generators of the group modulo torsion |
j |
-27648000/9947 |
j-invariant |
L |
12.358548758518 |
L(r)(E,1)/r! |
Ω |
0.64656666836018 |
Real period |
R |
4.7785284046251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944eo1 5684i1 12992i1 |
Quadratic twists by: -4 8 -7 |