Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bm |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
840725156250000 = 24 · 33 · 510 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2803251,1806278398] |
[a1,a2,a3,a4,a6] |
Generators |
[947:576:1] [-1033:60516:1] |
Generators of the group modulo torsion |
j |
155915546268841823521/53806410000 |
j-invariant |
L |
9.8499225072908 |
L(r)(E,1)/r! |
Ω |
0.40458091075113 |
Real period |
R |
1.0144162190899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430w1 |
Quadratic twists by: 5 |