Atkin-Lehner |
3- 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71595d |
Isogeny class |
Conductor |
71595 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
42672651508125 = 36 · 54 · 373 · 432 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 5 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19083,-964751] |
[a1,a2,a3,a4,a6] |
Generators |
[-4156:1559:64] |
Generators of the group modulo torsion |
j |
1054231854616576/58535873125 |
j-invariant |
L |
14.049428458499 |
L(r)(E,1)/r! |
Ω |
0.40760401709039 |
Real period |
R |
2.8723605649145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7955d1 |
Quadratic twists by: -3 |