Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624bs |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-23369935159296 = -1 · 216 · 312 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3171,242530] |
[a1,a2,a3,a4,a6] |
Generators |
[2:486:1] |
Generators of the group modulo torsion |
j |
-1180932193/7826544 |
j-invariant |
L |
4.271568055067 |
L(r)(E,1)/r! |
Ω |
0.58152845776825 |
Real period |
R |
1.8363538359207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12078i1 32208o1 |
Quadratic twists by: -4 -3 |