Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152by |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-947598249701376 = -1 · 212 · 32 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24435,-171333] |
[a1,a2,a3,a4,a6] |
Generators |
[327:9604:27] |
Generators of the group modulo torsion |
j |
3348071936/1966419 |
j-invariant |
L |
8.6330934590183 |
L(r)(E,1)/r! |
Ω |
0.2915336721683 |
Real period |
R |
1.8507925247947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152bi1 122304fb1 8736r1 |
Quadratic twists by: -4 8 -7 |