Atkin-Lehner |
2- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
121024t |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-3841785856 = -1 · 216 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 0 1 -1 3 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812,-9392] |
[a1,a2,a3,a4,a6] |
Generators |
[34:48:1] |
Generators of the group modulo torsion |
j |
-903466116/58621 |
j-invariant |
L |
7.812579623854 |
L(r)(E,1)/r! |
Ω |
0.44550774315632 |
Real period |
R |
2.1920437134218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024m1 30256a1 |
Quadratic twists by: -4 8 |