Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275dz |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-722311550296875 = -1 · 36 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-984900,376217406] |
[a1,a2,a3,a4,a6] |
j |
-78843215872/539 |
j-invariant |
L |
0.90694978122392 |
L(r)(E,1)/r! |
Ω |
0.45347443381313 |
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 |
13475a1 4851n1 17325n1 |
Quadratic twists by: -3 5 -7 |