Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dp |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
1200 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-3.7735285180032E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2451160,1505546900] |
[a1,a2,a3,a4,a6] |
Generators |
[830:6600:1] [-1645:33000:1] |
Generators of the group modulo torsion |
j |
-397629799197490583641/9212716108406250 |
j-invariant |
L |
12.601255186443 |
L(r)(E,1)/r! |
Ω |
0.204996493891 |
Real period |
R |
0.051225490688266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230h1 |
Quadratic twists by: -4 |