Atkin-Lehner |
3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
86247j |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1918080 |
Modular degree for the optimal curve |
Δ |
-3.249654315054E+19 |
Discriminant |
Eigenvalues |
0 3- 3 7+ -3 -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-607836,-329383796] |
[a1,a2,a3,a4,a6] |
Generators |
[1917140731056190:2157118255979077:1969577230375] |
Generators of the group modulo torsion |
j |
-262144/343 |
j-invariant |
L |
6.4130464757611 |
L(r)(E,1)/r! |
Ω |
0.081520399357944 |
Real period |
R |
19.666999077134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9583b1 86247k1 |
Quadratic twists by: -3 37 |