Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932r |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
-16008908864256 = -1 · 28 · 39 · 7 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -7 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5616,104004] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-594:1] |
Generators of the group modulo torsion |
j |
3887529984/3177097 |
j-invariant |
L |
2.9795470446839 |
L(r)(E,1)/r! |
Ω |
0.45010799105965 |
Real period |
R |
0.27581779479736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85932j1 |
Quadratic twists by: -3 |