Atkin-Lehner |
2- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904bc |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-219276488704 = -1 · 212 · 7 · 133 · 592 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 2 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1541,-31891] |
[a1,a2,a3,a4,a6] |
Generators |
[580:13923:1] |
Generators of the group modulo torsion |
j |
-98867482624/53534299 |
j-invariant |
L |
10.463447117299 |
L(r)(E,1)/r! |
Ω |
0.37157905846443 |
Real period |
R |
4.6932350291157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369b1 |
Quadratic twists by: -4 |