Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424cp |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-769643801837568 = -1 · 215 · 39 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22175,-400321] |
[a1,a2,a3,a4,a6] |
Generators |
[467:10584:1] [26:441:1] |
Generators of the group modulo torsion |
j |
36799767740728/23487664851 |
j-invariant |
L |
10.964057474126 |
L(r)(E,1)/r! |
Ω |
0.28939482903861 |
Real period |
R |
0.2104786413023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424bs1 47712c1 |
Quadratic twists by: -4 8 |