Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976bz |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
-2.6044471787652E+20 |
Discriminant |
Eigenvalues |
2- 1 -1 -2 11+ 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1947781,-1303582877] |
[a1,a2,a3,a4,a6] |
j |
-10333900063744/3293331899 |
j-invariant |
L |
1.1317533149614 |
L(r)(E,1)/r! |
Ω |
0.062875150573112 |
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 |
118976be1 29744h1 9152be1 |
Quadratic twists by: -4 8 13 |