Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344ep |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
129918149853184 = 218 · 7 · 11 · 235 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11- 1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16204,574096] |
[a1,a2,a3,a4,a6] |
Generators |
[2:736:1] |
Generators of the group modulo torsion |
j |
1794942305577/495598411 |
j-invariant |
L |
3.2297232711163 |
L(r)(E,1)/r! |
Ω |
0.54579108000445 |
Real period |
R |
0.29587541803075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344f1 28336bn1 |
Quadratic twists by: -4 8 |