Atkin-Lehner |
2- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
86320o |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-82048030105600 = -1 · 213 · 52 · 136 · 83 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10504,138580] |
[a1,a2,a3,a4,a6] |
Generators |
[52:910:1] |
Generators of the group modulo torsion |
j |
31288630685831/20031257350 |
j-invariant |
L |
2.9400764384016 |
L(r)(E,1)/r! |
Ω |
0.37891183927091 |
Real period |
R |
1.2932104219959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10790a2 |
Quadratic twists by: -4 |