Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240cs |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
214708838400 = 213 · 34 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96696,11541204] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:4680:1] [174:-120:1] |
Generators of the group modulo torsion |
j |
24411461591974969/52419150 |
j-invariant |
L |
11.772432034551 |
L(r)(E,1)/r! |
Ω |
0.8600169254586 |
Real period |
R |
0.855537816038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030c2 |
Quadratic twists by: -4 |