Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892f |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
4459504896 = 28 · 35 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71269,7346977] |
[a1,a2,a3,a4,a6] |
Generators |
[159:98:1] |
Generators of the group modulo torsion |
j |
455929523666944/50787 |
j-invariant |
L |
7.6339978338756 |
L(r)(E,1)/r! |
Ω |
1.0657860711425 |
Real period |
R |
1.1937977227088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999032325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122892bb1 |
Quadratic twists by: -7 |