Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218d |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-4866804034224 = -1 · 24 · 3 · 119 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11+ 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1691,102848] |
[a1,a2,a3,a4,a6] |
Generators |
[633:10318:27] |
Generators of the group modulo torsion |
j |
226981/2064 |
j-invariant |
L |
5.224462566865 |
L(r)(E,1)/r! |
Ω |
0.56406425318163 |
Real period |
R |
2.3155440791523 |
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 |
93654bg1 31218o1 |
Quadratic twists by: -3 -11 |