Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bo |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
10782720 |
Modular degree for the optimal curve |
Δ |
-1.7702012356504E+25 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 1 0 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,35731617,184993854644] |
[a1,a2,a3,a4,a6] |
Generators |
[-2406:291721:1] |
Generators of the group modulo torsion |
j |
2744564518708084736/9629735831296875 |
j-invariant |
L |
6.7827054579073 |
L(r)(E,1)/r! |
Ω |
0.049029995500459 |
Real period |
R |
1.3301718885259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905n1 12075h1 |
Quadratic twists by: 5 -7 |