Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920cc |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2006208000 = -1 · 29 · 36 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,4894] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:90:1] |
Generators of the group modulo torsion |
j |
-38614472/5375 |
j-invariant |
L |
8.2425064574948 |
L(r)(E,1)/r! |
Ω |
1.4261362754635 |
Real period |
R |
0.48163387323077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61920bw1 123840es1 6880d1 |
Quadratic twists by: -4 8 -3 |