Atkin-Lehner |
2- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904bb |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-63577206784 = -1 · 212 · 73 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 6 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1088,-18384] |
[a1,a2,a3,a4,a6] |
Generators |
[41:77:1] |
Generators of the group modulo torsion |
j |
-34773663744/15521779 |
j-invariant |
L |
6.882448448344 |
L(r)(E,1)/r! |
Ω |
0.40684420887089 |
Real period |
R |
2.8194446810684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369a1 |
Quadratic twists by: -4 |