Atkin-Lehner |
2- 3- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87768m |
Isogeny class |
Conductor |
87768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-39939530544 = -1 · 24 · 36 · 23 · 533 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -4 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,402,9101] |
[a1,a2,a3,a4,a6] |
Generators |
[58:477:1] |
Generators of the group modulo torsion |
j |
615962624/3424171 |
j-invariant |
L |
2.2473461117303 |
L(r)(E,1)/r! |
Ω |
0.82893623400389 |
Real period |
R |
0.22592671783192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9752a1 |
Quadratic twists by: -3 |