Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608bo |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9131724774529302528 = 218 · 312 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1926435,-1018830814] |
[a1,a2,a3,a4,a6] |
Generators |
[-745:1694:1] |
Generators of the group modulo torsion |
j |
264788619837198625/3058196150592 |
j-invariant |
L |
7.4722477019617 |
L(r)(E,1)/r! |
Ω |
0.12823723472475 |
Real period |
R |
2.4278724889437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7326c2 19536t2 |
Quadratic twists by: -4 -3 |