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 |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
10554872832 = 210 · 34 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5789,171405] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:504:1] [-4:441:1] |
Generators of the group modulo torsion |
j |
20956049840128/10307493 |
j-invariant |
L |
7.954641319101 |
L(r)(E,1)/r! |
Ω |
1.2652681102887 |
Real period |
R |
1.5717303815761 |
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 |
71232ct1 8904d1 |
Quadratic twists by: -4 8 |