Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976g |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3398073536 = -1 · 26 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 11+ 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,113,-2729] |
[a1,a2,a3,a4,a6] |
Generators |
[30:169:1] |
Generators of the group modulo torsion |
j |
512/11 |
j-invariant |
L |
1.5414877962025 |
L(r)(E,1)/r! |
Ω |
0.68459610794115 |
Real period |
R |
1.1258374126829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998339786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976bh1 59488v1 704c1 |
Quadratic twists by: -4 8 13 |