Atkin-Lehner |
2+ 3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650l |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
593117316000000 = 28 · 36 · 56 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40475,-2923875] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:455:1] |
Generators of the group modulo torsion |
j |
469332926706097/37959508224 |
j-invariant |
L |
4.135337148428 |
L(r)(E,1)/r! |
Ω |
0.33831871777212 |
Real period |
R |
3.0557998504095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2706r2 |
Quadratic twists by: 5 |