Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640eh |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-23725215206277120 = -1 · 216 · 34 · 5 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57880,9126548] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:3552:1] |
Generators of the group modulo torsion |
j |
-111284641/123120 |
j-invariant |
L |
8.5896639164331 |
L(r)(E,1)/r! |
Ω |
0.34423799770733 |
Real period |
R |
3.1190862053967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830h1 4560u1 |
Quadratic twists by: -4 -19 |