Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100x |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-5858244000000 = -1 · 28 · 36 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3892,70788] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:150:1] [28:-450:1] |
Generators of the group modulo torsion |
j |
1629561008/1464561 |
j-invariant |
L |
12.260902669567 |
L(r)(E,1)/r! |
Ω |
0.49438525107901 |
Real period |
R |
0.68889722937037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3444f2 |
Quadratic twists by: 5 |