Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200dz |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
785203200000000 = 220 · 33 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 1 2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23208,177588] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:768:1] |
Generators of the group modulo torsion |
j |
864043465/490752 |
j-invariant |
L |
8.2883328729901 |
L(r)(E,1)/r! |
Ω |
0.43311079598516 |
Real period |
R |
1.5947291370963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650e1 85200cb1 |
Quadratic twists by: -4 5 |