Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19680x |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-113356800 = -1 · 212 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,-565] |
[a1,a2,a3,a4,a6] |
Generators |
[17:60:1] |
Generators of the group modulo torsion |
j |
-6229504/27675 |
j-invariant |
L |
5.2919084060869 |
L(r)(E,1)/r! |
Ω |
0.77451466473581 |
Real period |
R |
0.56937897660637 |
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 |
19680b1 39360m1 59040bb1 98400b1 |
Quadratic twists by: -4 8 -3 5 |