Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456cb |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-218621804544 = -1 · 221 · 36 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,831,20799] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-192:1] |
Generators of the group modulo torsion |
j |
241804367/833976 |
j-invariant |
L |
6.7343823367189 |
L(r)(E,1)/r! |
Ω |
0.70661017173555 |
Real period |
R |
0.39710617714539 |
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 |
27456r1 6864s1 82368eu1 |
Quadratic twists by: -4 8 -3 |