Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200dq |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
44167680000 = 212 · 35 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4208,103188] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-90:1] [-62:360:1] |
Generators of the group modulo torsion |
j |
3219690625/17253 |
j-invariant |
L |
12.345412082715 |
L(r)(E,1)/r! |
Ω |
1.1449687522831 |
Real period |
R |
0.17970522569812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5325f1 85200bo1 |
Quadratic twists by: -4 5 |