Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944ek |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
3493704704 = 210 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -6 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1829,29371] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:245:1] [-5:196:1] |
Generators of the group modulo torsion |
j |
5619712/29 |
j-invariant |
L |
6.4514545942859 |
L(r)(E,1)/r! |
Ω |
1.4144738143716 |
Real period |
R |
2.2805139722821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944ce1 22736ba1 1856n1 |
Quadratic twists by: -4 8 -7 |