Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024cc |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-41936021815296 = -1 · 216 · 3 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5504,-347136] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1372:1] |
Generators of the group modulo torsion |
j |
-38272753/87024 |
j-invariant |
L |
2.448379548872 |
L(r)(E,1)/r! |
Ω |
0.25912028557989 |
Real period |
R |
2.3622036642713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878bq1 12432bv1 |
Quadratic twists by: -4 -7 |