Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784b |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1621807824 = 24 · 3 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1239,17094] |
[a1,a2,a3,a4,a6] |
Generators |
[786:1880:27] |
Generators of the group modulo torsion |
j |
2725888/21 |
j-invariant |
L |
4.0169586279352 |
L(r)(E,1)/r! |
Ω |
1.5077449060278 |
Real period |
R |
5.3284326968519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392bc1 336b1 |
Quadratic twists by: -4 13 |