Atkin-Lehner |
2- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30940k |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10366424104400 = 24 · 52 · 74 · 133 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89948825,-328383262100] |
[a1,a2,a3,a4,a6] |
Generators |
[210125400:-18631448605:13824] |
Generators of the group modulo torsion |
j |
5030257507576971376060973056/647901506525 |
j-invariant |
L |
3.983285751305 |
L(r)(E,1)/r! |
Ω |
0.049023089844267 |
Real period |
R |
13.542209613058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bj3 |
Quadratic twists by: -4 |