Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ed |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
69984000 |
Modular degree for the optimal curve |
Δ |
-2.1100095345918E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 7 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,146121049,-161923615702] |
[a1,a2,a3,a4,a6] |
j |
498592699047570335/304907615857152 |
j-invariant |
L |
2.930308038373 |
L(r)(E,1)/r! |
Ω |
0.032558966796894 |
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 |
127050gj1 11550cs1 |
Quadratic twists by: 5 -11 |