Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200dv |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
11981250000 = 24 · 33 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,7338] |
[a1,a2,a3,a4,a6] |
Generators |
[22:12:1] |
Generators of the group modulo torsion |
j |
10240000/1917 |
j-invariant |
L |
9.0621229476975 |
L(r)(E,1)/r! |
Ω |
1.2067072467755 |
Real period |
R |
2.5032646958889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300g1 85200by1 |
Quadratic twists by: -4 5 |