Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320y |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-18011526614630000 = -1 · 24 · 54 · 239 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -6 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24510,6631975] |
[a1,a2,a3,a4,a6] |
Generators |
[537:-12167:1] [-15:2645:1] |
Generators of the group modulo torsion |
j |
-687518464/7604375 |
j-invariant |
L |
6.9172665278837 |
L(r)(E,1)/r! |
Ω |
0.33028319911754 |
Real period |
R |
1.3089650310638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580i1 1840f1 |
Quadratic twists by: -4 -23 |