Atkin-Lehner |
3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989g |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
340059846189 = 3 · 79 · 532 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2367,-33538] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:80:1] [-20:73:1] |
Generators of the group modulo torsion |
j |
522336305152/121060821 |
j-invariant |
L |
6.0204758344296 |
L(r)(E,1)/r! |
Ω |
0.69586966049336 |
Real period |
R |
0.96130324018804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58989r2 |
Quadratic twists by: 53 |