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 |
4045123106983968768 = 216 · 37 · 11 · 376 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9725475,-11673455326] |
[a1,a2,a3,a4,a6] |
Generators |
[-1807:416:1] |
Generators of the group modulo torsion |
j |
34069730739753390625/1354703543952 |
j-invariant |
L |
7.4722477019617 |
L(r)(E,1)/r! |
Ω |
0.085491489816503 |
Real period |
R |
3.6418087334156 |
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 |
7326c3 19536t3 |
Quadratic twists by: -4 -3 |