Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976a |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1308736 = -1 · 26 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 1 -2 11+ 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] |
Generators of the group modulo torsion |
j |
22464/121 |
j-invariant |
L |
5.2996880166942 |
L(r)(E,1)/r! |
Ω |
1.3630441225562 |
Real period |
R |
1.9440632624121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976y1 59488s1 118976z1 |
Quadratic twists by: -4 8 13 |