Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ek |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
2.6873359981897E+24 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34811667,5410616616] |
[a1,a2,a3,a4,a6] |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
1.6538478164441 |
L(r)(E,1)/r! |
Ω |
0.06891032080523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425ck1 24255bx1 17325r1 |
Quadratic twists by: -3 5 -7 |