Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680w |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
318737054160 = 24 · 314 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12738,552683] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1064:1] |
Generators of the group modulo torsion |
j |
19596564207616/27326565 |
j-invariant |
L |
7.1849641956829 |
L(r)(E,1)/r! |
Ω |
0.96434849465749 |
Real period |
R |
3.7252944559338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bj1 28560z1 |
Quadratic twists by: -4 -3 |