Atkin-Lehner |
2- 3- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65412c |
Isogeny class |
Conductor |
65412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-1674285552 = -1 · 24 · 36 · 23 · 792 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,-2131] |
[a1,a2,a3,a4,a6] |
Generators |
[23:79:1] [41:245:1] |
Generators of the group modulo torsion |
j |
-42592000/143543 |
j-invariant |
L |
9.8629244761162 |
L(r)(E,1)/r! |
Ω |
0.61253487010561 |
Real period |
R |
2.6836361915772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7268a1 |
Quadratic twists by: -3 |