Atkin-Lehner |
7- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86387a |
Isogeny class |
Conductor |
86387 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-45119648081086187 = -1 · 712 · 41 · 433 |
Discriminant |
Eigenvalues |
0 -1 0 7- -6 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,80197,-5321163] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1053:1] |
Generators of the group modulo torsion |
j |
484846678016000/383510680763 |
j-invariant |
L |
3.0857562402968 |
L(r)(E,1)/r! |
Ω |
0.19987869215584 |
Real period |
R |
1.2865120892768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12341c2 |
Quadratic twists by: -7 |