Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540d |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
81768960 |
Modular degree for the optimal curve |
Δ |
8.3828060420345E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3022407041,63804570240930] |
[a1,a2,a3,a4,a6] |
Generators |
[29181:674817:1] |
Generators of the group modulo torsion |
j |
233946077598763088625664/642277364501953125 |
j-invariant |
L |
4.6618164846486 |
L(r)(E,1)/r! |
Ω |
0.041498557249365 |
Real period |
R |
1.7831243272696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111540n1 |
Quadratic twists by: 13 |