Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104bh |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-15261586566119424 = -1 · 215 · 33 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1960371,-1056482702] |
[a1,a2,a3,a4,a6] |
j |
-12665630691/232 |
j-invariant |
L |
4.5932168432119 |
L(r)(E,1)/r! |
Ω |
0.063794687501858 |
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 |
15138b1 121104bj2 4176p1 |
Quadratic twists by: -4 -3 29 |