Atkin-Lehner |
2+ 5+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650d |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
1020625000000000 = 29 · 513 · 23 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 0 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27126,768648] |
[a1,a2,a3,a4,a6] |
Generators |
[-1074:11833:8] [-108:1616:1] |
Generators of the group modulo torsion |
j |
141266096047441/65320000000 |
j-invariant |
L |
8.844588251018 |
L(r)(E,1)/r! |
Ω |
0.44115495211084 |
Real period |
R |
5.0121778122638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16330e1 |
Quadratic twists by: 5 |