Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
11214j |
Isogeny class |
Conductor |
11214 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-82713028608 = -1 · 211 · 33 · 75 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-317,14085] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-624:1] |
Generators of the group modulo torsion |
j |
-130092635763/3063445504 |
j-invariant |
L |
5.3211708821036 |
L(r)(E,1)/r! |
Ω |
0.90650413470271 |
Real period |
R |
0.053363552238249 |
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 |
89712h1 11214b1 78498bi1 |
Quadratic twists by: -4 -3 -7 |