Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176a |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3036024246528 = 28 · 33 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245895,46932314] |
[a1,a2,a3,a4,a6] |
Generators |
[283:96:1] |
Generators of the group modulo torsion |
j |
49284342000/91 |
j-invariant |
L |
6.4491155278118 |
L(r)(E,1)/r! |
Ω |
0.68619038177767 |
Real period |
R |
2.3496086866344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176bf2 6552o2 |
Quadratic twists by: -3 13 |