Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860s |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
67029020370000 = 24 · 36 · 54 · 13 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21852,-1179279] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:145:1] |
Generators of the group modulo torsion |
j |
98934958669824/5746658125 |
j-invariant |
L |
6.2143581310032 |
L(r)(E,1)/r! |
Ω |
0.39409349454076 |
Real period |
R |
0.32851543145449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540a1 |
Quadratic twists by: -3 |