Atkin-Lehner |
2- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656t |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-343772324304707584 = -1 · 213 · 119 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 2 3 1 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,73736,-27160848] |
[a1,a2,a3,a4,a6] |
j |
10824219678756743/83928790113454 |
j-invariant |
L |
5.4279495012669 |
L(r)(E,1)/r! |
Ω |
0.15077637633606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582c1 |
Quadratic twists by: -4 |