Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cg |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-292818437613678592 = -1 · 212 · 79 · 116 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1216964,517386688] |
[a1,a2,a3,a4,a6] |
Generators |
[16023:55223:27] |
Generators of the group modulo torsion |
j |
-1205909169984/1771561 |
j-invariant |
L |
6.1966698028078 |
L(r)(E,1)/r! |
Ω |
0.30725707414989 |
Real period |
R |
5.0419260646415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496dc1 17248q1 34496ci1 |
Quadratic twists by: -4 8 -7 |