Atkin-Lehner |
11- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109681f |
Isogeny class |
Conductor |
109681 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
40723787533 = 11 · 137 · 59 |
Discriminant |
Eigenvalues |
2 1 4 -1 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10196,392773] |
[a1,a2,a3,a4,a6] |
Generators |
[-294950:80639901:125000] |
Generators of the group modulo torsion |
j |
24288219136/8437 |
j-invariant |
L |
21.815981559724 |
L(r)(E,1)/r! |
Ω |
1.1246182289687 |
Real period |
R |
9.6992832777984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8437a1 |
Quadratic twists by: 13 |