Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892bb |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2284800 |
Modular degree for the optimal curve |
Δ |
524656291509504 = 28 · 35 · 79 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3492197,-2513028729] |
[a1,a2,a3,a4,a6] |
Generators |
[-1079:6:1] |
Generators of the group modulo torsion |
j |
455929523666944/50787 |
j-invariant |
L |
6.414350530904 |
L(r)(E,1)/r! |
Ω |
0.11043960978637 |
Real period |
R |
1.9360054303939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122892f1 |
Quadratic twists by: -7 |