Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gd |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
149874278400 = 218 · 33 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195148801,1049228361215] |
[a1,a2,a3,a4,a6] |
Generators |
[8101:5604:1] |
Generators of the group modulo torsion |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
7.2163547740058 |
L(r)(E,1)/r! |
Ω |
0.27739108483674 |
Real period |
R |
4.335848775765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920n6 18480cd5 |
Quadratic twists by: -4 8 |