Atkin-Lehner |
2- 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892u |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-1030145630976 = -1 · 28 · 36 · 74 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,523,-48441] |
[a1,a2,a3,a4,a6] |
Generators |
[34:99:1] |
Generators of the group modulo torsion |
j |
25690112/1675971 |
j-invariant |
L |
7.3291367516185 |
L(r)(E,1)/r! |
Ω |
0.41787610103629 |
Real period |
R |
1.4615848991722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999503674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122892m1 |
Quadratic twists by: -7 |