Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966z |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-34332984 = -1 · 23 · 36 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-288,-1832] |
[a1,a2,a3,a4,a6] |
Generators |
[1740435:38602337:3375] |
Generators of the group modulo torsion |
j |
-4317433/56 |
j-invariant |
L |
6.7617283846204 |
L(r)(E,1)/r! |
Ω |
0.57891596965985 |
Real period |
R |
11.679982550561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999419556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774i1 105966cl1 |
Quadratic twists by: -3 29 |