Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530w |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
3254912100000000 = 28 · 38 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-681440,216441600] |
[a1,a2,a3,a4,a6] |
Generators |
[-770:17260:1] |
Generators of the group modulo torsion |
j |
34995050144226882178561/3254912100000000 |
j-invariant |
L |
8.7519375533344 |
L(r)(E,1)/r! |
Ω |
0.4281786398939 |
Real period |
R |
1.2774950595829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
108240bl1 40590o1 67650h1 |
Quadratic twists by: -4 -3 5 |