Atkin-Lehner |
5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675bd |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
1429789997395703125 = 58 · 78 · 133 · 172 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-425458,90140818] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-1138:1] [151:5414:1] |
Generators of the group modulo torsion |
j |
21803930090106880/3660262393333 |
j-invariant |
L |
3.8941958141686 |
L(r)(E,1)/r! |
Ω |
0.25732066841394 |
Real period |
R |
0.1050946535075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38675e1 |
Quadratic twists by: 5 |