Atkin-Lehner |
2+ 3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062c |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
778240 |
Modular degree for the optimal curve |
Δ |
847447857271636992 = 210 · 33 · 78 · 19 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-409143,90573021] |
[a1,a2,a3,a4,a6] |
Generators |
[-567:12117:1] |
Generators of the group modulo torsion |
j |
280534269150258120171/31386957676727296 |
j-invariant |
L |
3.1142959228701 |
L(r)(E,1)/r! |
Ω |
0.27260523229269 |
Real period |
R |
0.35700616151696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55062x1 |
Quadratic twists by: -3 |