Atkin-Lehner |
3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065p |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
65099241647411265 = 35 · 5 · 714 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25086531,-48364620984] |
[a1,a2,a3,a4,a6] |
Generators |
[-2892:1482:1] [-78072:38216:27] |
Generators of the group modulo torsion |
j |
14840799746950146120481/553334423985 |
j-invariant |
L |
6.9929132035121 |
L(r)(E,1)/r! |
Ω |
0.067458922941463 |
Real period |
R |
20.732359482204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8295c4 |
Quadratic twists by: -7 |