Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672x |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-2.6129657015386E+19 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194885,248156956] |
[a1,a2,a3,a4,a6] |
Generators |
[327:14812:1] |
Generators of the group modulo torsion |
j |
-12790248382259928000/408275890865400943 |
j-invariant |
L |
4.3544591669082 |
L(r)(E,1)/r! |
Ω |
0.1765571455963 |
Real period |
R |
1.7616551093391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672h1 113344bm1 |
Quadratic twists by: -4 8 |