Atkin-Lehner |
2- 13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81328r |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
50880 |
Modular degree for the optimal curve |
Δ |
-37164944128 = -1 · 28 · 135 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -2 0 -2 -4 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813,-13145] |
[a1,a2,a3,a4,a6] |
Generators |
[35:50:1] [42:169:1] |
Generators of the group modulo torsion |
j |
-232428544000/145175563 |
j-invariant |
L |
6.9857413079412 |
L(r)(E,1)/r! |
Ω |
0.43468670274683 |
Real period |
R |
1.6070749953153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20332b1 |
Quadratic twists by: -4 |