Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232l |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
293201689116672 = 216 · 34 · 7 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52129,-4489055] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:144:1] [-120:155:1] |
Generators of the group modulo torsion |
j |
239050851062692/4473902727 |
j-invariant |
L |
7.954641319101 |
L(r)(E,1)/r! |
Ω |
0.31631702757218 |
Real period |
R |
6.2869215263045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999752 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232ct4 8904d3 |
Quadratic twists by: -4 8 |