Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688be |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4959360 |
Modular degree for the optimal curve |
Δ |
9.2777421151773E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 1 5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12244964,-16489989960] |
[a1,a2,a3,a4,a6] |
Generators |
[33836389695247939:1472986178638022364:6765209774497] |
Generators of the group modulo torsion |
j |
59090512/27 |
j-invariant |
L |
6.735879299185 |
L(r)(E,1)/r! |
Ω |
0.080709021759351 |
Real period |
R |
27.819604931195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172c1 80688u1 |
Quadratic twists by: -4 41 |