Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490p |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-5.1213688464312E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76258437,-256373407539] |
[a1,a2,a3,a4,a6] |
j |
-27684157359106812821041/2890879200000000 |
j-invariant |
L |
2.452257633816 |
L(r)(E,1)/r! |
Ω |
0.025544350374516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590w1 |
Quadratic twists by: -11 |