Atkin-Lehner |
3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
73101g |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10655721581211 = -1 · 32 · 78 · 593 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8539,341204] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:622:1] |
Generators of the group modulo torsion |
j |
-335267840123/51883209 |
j-invariant |
L |
4.9336969979225 |
L(r)(E,1)/r! |
Ω |
0.69588943286637 |
Real period |
R |
0.88622142485811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73101f2 |
Quadratic twists by: -59 |