Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400cp |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-6029209080000000 = -1 · 29 · 37 · 57 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65408,-7465812] |
[a1,a2,a3,a4,a6] |
j |
-3868414248392/753651135 |
j-invariant |
L |
6.2038969277308 |
L(r)(E,1)/r! |
Ω |
0.14771183443929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400bz1 19680c1 |
Quadratic twists by: -4 5 |