Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
4326o |
Isogeny class |
Conductor |
4326 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
-5178435695955648 = -1 · 26 · 33 · 710 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26849,3851913] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:2179:1] |
Generators of the group modulo torsion |
j |
-2140469617845733777/5178435695955648 |
j-invariant |
L |
5.6983893371839 |
L(r)(E,1)/r! |
Ω |
0.38117874997808 |
Real period |
R |
0.16610432004266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34608k2 12978o2 108150d2 30282x2 |
Quadratic twists by: -4 -3 5 -7 |