Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bq |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-33883920000000 = -1 · 210 · 36 · 57 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7249,148898] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1156:1] [-9:292:1] |
Generators of the group modulo torsion |
j |
2696647030559/2168570880 |
j-invariant |
L |
9.9036479920778 |
L(r)(E,1)/r! |
Ω |
0.42206506400595 |
Real period |
R |
0.48884879946672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430y1 |
Quadratic twists by: 5 |