Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832y |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-198311936 = -1 · 217 · 17 · 89 |
Discriminant |
Eigenvalues |
2- -1 -3 2 -2 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,-671] |
[a1,a2,a3,a4,a6] |
Generators |
[7:8:1] |
Generators of the group modulo torsion |
j |
207646/1513 |
j-invariant |
L |
3.4359952556776 |
L(r)(E,1)/r! |
Ω |
0.88915587097261 |
Real period |
R |
1.932166995303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96832f1 24208b1 |
Quadratic twists by: -4 8 |