Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968df |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-1327557132582912 = -1 · 215 · 33 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11- -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43923,-3953070] |
[a1,a2,a3,a4,a6] |
j |
-395307/56 |
j-invariant |
L |
3.9265292267018 |
L(r)(E,1)/r! |
Ω |
0.1636054056027 |
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 |
15246b1 121968dg1 121968ct1 |
Quadratic twists by: -4 -3 -11 |