Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275z |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-14675471920703125 = -1 · 58 · 711 · 19 |
Discriminant |
Eigenvalues |
1 0 5- 7- 6 3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30242,6177541] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:2491:1] |
Generators of the group modulo torsion |
j |
-66560265/319333 |
j-invariant |
L |
6.0949431686849 |
L(r)(E,1)/r! |
Ω |
0.34275571456495 |
Real period |
R |
1.481848176823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23275n1 3325j1 |
Quadratic twists by: 5 -7 |