Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320l |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-1361930178800 = -1 · 24 · 52 · 237 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -4 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5466,163559] |
[a1,a2,a3,a4,a6] |
Generators |
[199:2645:1] |
Generators of the group modulo torsion |
j |
-7626496/575 |
j-invariant |
L |
4.6711662195572 |
L(r)(E,1)/r! |
Ω |
0.83995478019248 |
Real period |
R |
1.3903028858543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580c1 1840i1 |
Quadratic twists by: -4 -23 |