Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784bq |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.5336457300445E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30925704,-112068058896] |
[a1,a2,a3,a4,a6] |
Generators |
[1592952492:575847954720:12167] |
Generators of the group modulo torsion |
j |
-75306487574989/81352871712 |
j-invariant |
L |
3.7524741561188 |
L(r)(E,1)/r! |
Ω |
0.030701420242021 |
Real period |
R |
15.278096772712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098o4 56784cg4 |
Quadratic twists by: -4 13 |