Atkin-Lehner |
3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bq |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-468007979548725 = -1 · 37 · 52 · 7 · 114 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18643,-355894] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-1491:1] |
Generators of the group modulo torsion |
j |
983026944079991/641986254525 |
j-invariant |
L |
3.8644668324471 |
L(r)(E,1)/r! |
Ω |
0.30031309040189 |
Real period |
R |
1.608515810658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635r4 |
Quadratic twists by: -3 |