Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472u |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
36296696595456 = 210 · 310 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145868259,-678093080690] |
[a1,a2,a3,a4,a6] |
Generators |
[134831247177644142513440776:17733682374026116482941866965:5523164117993280246272] |
Generators of the group modulo torsion |
j |
459810226079738871007108/48622761 |
j-invariant |
L |
7.0953817374128 |
L(r)(E,1)/r! |
Ω |
0.043441954341021 |
Real period |
R |
40.832542210888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944p1 10824e1 |
Quadratic twists by: -4 -3 |