Atkin-Lehner |
2- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84878k |
Isogeny class |
Conductor |
84878 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4347648 |
Modular degree for the optimal curve |
Δ |
-1.3286803610684E+22 |
Discriminant |
Eigenvalues |
2- 2 1 -2 0 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-545575,5547794653] |
[a1,a2,a3,a4,a6] |
Generators |
[1171:80138:1] |
Generators of the group modulo torsion |
j |
-5112971281/3782742016 |
j-invariant |
L |
14.73513218892 |
L(r)(E,1)/r! |
Ω |
0.10176771885905 |
Real period |
R |
3.0164960346319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84878b1 |
Quadratic twists by: 37 |