Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bt |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2965248 |
Modular degree for the optimal curve |
Δ |
-8.4966847204034E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1650488,-1141047824] |
[a1,a2,a3,a4,a6] |
Generators |
[72770:511758:125] |
Generators of the group modulo torsion |
j |
121394948260111009847/207438591806724096 |
j-invariant |
L |
3.2635873983629 |
L(r)(E,1)/r! |
Ω |
0.0831985547727 |
Real period |
R |
3.2688742887729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282n1 |
Quadratic twists by: -4 |