Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550cd |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
589147776000000000 = 216 · 33 · 59 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-229338,20477031] |
[a1,a2,a3,a4,a6] |
Generators |
[-471:5163:1] |
Generators of the group modulo torsion |
j |
85375226113731289/37705457664000 |
j-invariant |
L |
10.088681742766 |
L(r)(E,1)/r! |
Ω |
0.26105617817664 |
Real period |
R |
2.4153521794463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14910n1 |
Quadratic twists by: 5 |