Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850bm |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
158905110528000000 = 218 · 312 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-211055,32067447] |
[a1,a2,a3,a4,a6] |
Generators |
[83:3846:1] |
Generators of the group modulo torsion |
j |
91276959390625/13950517248 |
j-invariant |
L |
8.6423438292004 |
L(r)(E,1)/r! |
Ω |
0.3101307555461 |
Real period |
R |
0.77407706934436 |
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 |
10950b1 1314a1 |
Quadratic twists by: -3 5 |