Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6930w |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-98794080000 = -1 · 28 · 36 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,292,-15073] |
[a1,a2,a3,a4,a6] |
Generators |
[43:253:1] |
Generators of the group modulo torsion |
j |
3789119879/135520000 |
j-invariant |
L |
5.5971462313627 |
L(r)(E,1)/r! |
Ω |
0.51244654543556 |
Real period |
R |
0.68265001018367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440dp1 770d1 34650x1 48510ds1 |
Quadratic twists by: -4 -3 5 -7 |