Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148bg |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3968637716736 = -1 · 28 · 32 · 76 · 114 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2160132,1222712856] |
[a1,a2,a3,a4,a6] |
Generators |
[-1359:40578:1] [845:196:1] |
Generators of the group modulo torsion |
j |
-2527934627152/9 |
j-invariant |
L |
7.5721400966006 |
L(r)(E,1)/r! |
Ω |
0.52247409097725 |
Real period |
R |
3.6232132019906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1452e2 71148bf2 |
Quadratic twists by: -7 -11 |