Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550cd |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
819030761718750000 = 24 · 33 · 518 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28635338,-58991482969] |
[a1,a2,a3,a4,a6] |
Generators |
[433538655:-41994521671:35937] |
Generators of the group modulo torsion |
j |
166192196667179593497049/52417968750000 |
j-invariant |
L |
10.088681742766 |
L(r)(E,1)/r! |
Ω |
0.065264044544159 |
Real period |
R |
9.6614087177852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910n3 |
Quadratic twists by: 5 |