Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440bp |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3951763200 = -1 · 28 · 36 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,-394] |
[a1,a2,a3,a4,a6] |
Generators |
[2:20:1] |
Generators of the group modulo torsion |
j |
35969456/21175 |
j-invariant |
L |
7.2317872169285 |
L(r)(E,1)/r! |
Ω |
0.81749920095807 |
Real period |
R |
2.211557885439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720m1 6160b1 |
Quadratic twists by: -4 -3 |