Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gc |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
8962598937600000000 = 216 · 310 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-697408,-172004812] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:7200:1] |
Generators of the group modulo torsion |
j |
586145095611769/140040608400 |
j-invariant |
L |
7.832387600566 |
L(r)(E,1)/r! |
Ω |
0.16807066072656 |
Real period |
R |
1.1650438508058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001194 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550bu2 18480bu2 |
Quadratic twists by: -4 5 |