Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640w |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
-8152110259680000 = -1 · 28 · 3 · 54 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-729340,-240024100] |
[a1,a2,a3,a4,a6] |
Generators |
[39582010:249027192060:1] |
Generators of the group modulo torsion |
j |
-9868374736/1875 |
j-invariant |
L |
10.189912073004 |
L(r)(E,1)/r! |
Ω |
0.08168306977353 |
Real period |
R |
15.593672130676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320u1 86640k1 |
Quadratic twists by: -4 -19 |