Atkin-Lehner |
2+ 3+ 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826a |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3031137027072 = 210 · 33 · 72 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5388,128464] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:464:1] [-40:548:1] |
Generators of the group modulo torsion |
j |
640749163811931/112264334336 |
j-invariant |
L |
6.7110221443983 |
L(r)(E,1)/r! |
Ω |
0.76302211382723 |
Real period |
R |
0.73294316800457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826p1 |
Quadratic twists by: -3 |