Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152w |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
220967731204374528 = 214 · 37 · 116 · 592 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-772672,-260698828] |
[a1,a2,a3,a4,a6] |
Generators |
[-508:990:1] |
Generators of the group modulo torsion |
j |
12455175463333710913/53947200001068 |
j-invariant |
L |
7.5876697588602 |
L(r)(E,1)/r! |
Ω |
0.16106971442911 |
Real period |
R |
3.3648561013976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894l2 124608cp2 93456bx2 |
Quadratic twists by: -4 8 -3 |