Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920cb |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-1253880000000000 = -1 · 212 · 36 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23592,2201776] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-900:1] |
Generators of the group modulo torsion |
j |
-486329388544/419921875 |
j-invariant |
L |
7.93211594712 |
L(r)(E,1)/r! |
Ω |
0.44345046047813 |
Real period |
R |
0.44718162759904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61920u1 123840bm1 6880c1 |
Quadratic twists by: -4 8 -3 |