Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744b |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-3538822144 = -1 · 210 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 2 -1 2 11+ 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-2848] |
[a1,a2,a3,a4,a6] |
Generators |
[22:78:1] |
Generators of the group modulo torsion |
j |
-676/121 |
j-invariant |
L |
7.9161308870927 |
L(r)(E,1)/r! |
Ω |
0.62606424437303 |
Real period |
R |
1.053689904596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14872e1 118976dj1 29744i1 |
Quadratic twists by: -4 8 13 |