Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810v |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
87834240 |
Modular degree for the optimal curve |
Δ |
-3.737843615409E+28 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 -1 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3782751351,-90032199035827] |
[a1,a2,a3,a4,a6] |
j |
-2969326016627287928401/18540947046400000 |
j-invariant |
L |
3.9834179508144 |
L(r)(E,1)/r! |
Ω |
0.0096217826294918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810bo1 |
Quadratic twists by: 17 |