Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
11214k |
Isogeny class |
Conductor |
11214 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-3413606720864256 = -1 · 230 · 36 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-244022,46543173] |
[a1,a2,a3,a4,a6] |
Generators |
[297:299:1] |
Generators of the group modulo torsion |
j |
-2204354621486221849/4682588094464 |
j-invariant |
L |
6.94497407375 |
L(r)(E,1)/r! |
Ω |
0.44655256801157 |
Real period |
R |
0.25920703672414 |
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 |
89712ba1 1246a1 78498ca1 |
Quadratic twists by: -4 -3 -7 |