Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440bp |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
1310720 |
Modular degree for the optimal curve |
Δ |
373714560000000000 = 216 · 38 · 510 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-811905,279771903] |
[a1,a2,a3,a4,a6] |
Generators |
[8877:188000:27] [426:3375:1] |
Generators of the group modulo torsion |
j |
903150162226196356/5702431640625 |
j-invariant |
L |
12.936230511161 |
L(r)(E,1)/r! |
Ω |
0.30306192063032 |
Real period |
R |
0.5335638375592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440f1 21360a1 |
Quadratic twists by: -4 8 |