Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720b |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-5197500000000 = -1 · 28 · 33 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12423,544122] |
[a1,a2,a3,a4,a6] |
Generators |
[67:112:1] |
Generators of the group modulo torsion |
j |
-30676050095472/751953125 |
j-invariant |
L |
5.067419457623 |
L(r)(E,1)/r! |
Ω |
0.76426156856631 |
Real period |
R |
3.3152389613997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440a1 27720ba1 |
Quadratic twists by: -4 -3 |