Atkin-Lehner |
2- 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240bk |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2145242880000 = -1 · 211 · 36 · 54 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11+ 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2373,54646] |
[a1,a2,a3,a4,a6] |
j |
989827342/1436875 |
j-invariant |
L |
4.4678216363865 |
L(r)(E,1)/r! |
Ω |
0.55847770380745 |
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 |
8360c1 |
Quadratic twists by: -3 |