Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970p |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-6.6368769844234E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1000620,-72414000] |
[a1,a2,a3,a4,a6] |
Generators |
[93:4584:1] |
Generators of the group modulo torsion |
j |
1291859362462031/773834342400 |
j-invariant |
L |
4.4228890915341 |
L(r)(E,1)/r! |
Ω |
0.11410174238217 |
Real period |
R |
2.4226673706887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990cg1 10710n1 |
Quadratic twists by: -3 -7 |