Atkin-Lehner |
2- 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216p |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-1647473049796608 = -1 · 216 · 32 · 19 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 0 6 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28992,-460800] |
[a1,a2,a3,a4,a6] |
Generators |
[18:258:1] |
Generators of the group modulo torsion |
j |
657935488109375/402215100048 |
j-invariant |
L |
4.9666855237677 |
L(r)(E,1)/r! |
Ω |
0.27436786665932 |
Real period |
R |
0.90511428766045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4902m1 117648bi1 |
Quadratic twists by: -4 -3 |