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 |
658840851136512 = 214 · 38 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155606115,-747116113822] |
[a1,a2,a3,a4,a6] |
Generators |
[-15822781:-2198:2197] |
Generators of the group modulo torsion |
j |
139545621883503188502625/220644468 |
j-invariant |
L |
7.4722477019617 |
L(r)(E,1)/r! |
Ω |
0.042745744908251 |
Real period |
R |
7.2836174668311 |
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 |
7326c4 19536t4 |
Quadratic twists by: -4 -3 |