Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bp |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-23899125937500 = -1 · 22 · 37 · 57 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5958,-156384] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-879:1] |
Generators of the group modulo torsion |
j |
2053225511/2098140 |
j-invariant |
L |
5.0419214102939 |
L(r)(E,1)/r! |
Ω |
0.36606402917925 |
Real period |
R |
0.8608332513746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050dg1 16830ck1 |
Quadratic twists by: -3 5 |