Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400z |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-3.0071097298944E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184033,-834812063] |
[a1,a2,a3,a4,a6] |
Generators |
[1033:8736:1] [1097:16800:1] |
Generators of the group modulo torsion |
j |
-168288035761/73415764890 |
j-invariant |
L |
8.8334292652213 |
L(r)(E,1)/r! |
Ω |
0.077468987325361 |
Real period |
R |
7.1265850779574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400gy5 1950g6 12480u6 |
Quadratic twists by: -4 8 5 |