Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784ca |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-3032429593820110848 = -1 · 213 · 33 · 75 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3331384,2342983408] |
[a1,a2,a3,a4,a6] |
Generators |
[-732:66248:1] |
Generators of the group modulo torsion |
j |
-1223745654937/907578 |
j-invariant |
L |
5.2876489416209 |
L(r)(E,1)/r! |
Ω |
0.25102886285524 |
Real period |
R |
0.35106513792066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098l1 56784bm1 |
Quadratic twists by: -4 13 |