Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968ef |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-761409294041088 = -1 · 223 · 37 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3531,-1330054] |
[a1,a2,a3,a4,a6] |
j |
-13475473/2107392 |
j-invariant |
L |
0.89885795955462 |
L(r)(E,1)/r! |
Ω |
0.22471454993334 |
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 |
15246bt1 40656bi1 121968fw1 |
Quadratic twists by: -4 -3 -11 |