Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ee |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
1044772063822265625 = 310 · 59 · 77 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2243817,1293313216] |
[a1,a2,a3,a4,a6] |
Generators |
[7342:-23921:8] [128:31688:1] |
Generators of the group modulo torsion |
j |
932288503609/779625 |
j-invariant |
L |
14.010185739765 |
L(r)(E,1)/r! |
Ω |
0.27474368464659 |
Real period |
R |
3.1871036817328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425l1 24255bi1 17325p1 |
Quadratic twists by: -3 5 -7 |