Atkin-Lehner |
2+ 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150bf |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2688000 |
Modular degree for the optimal curve |
Δ |
-1.6580603805696E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2474,-195910552] |
[a1,a2,a3,a4,a6] |
Generators |
[16213:2056277:1] |
Generators of the group modulo torsion |
j |
107239576751/1061158643564544 |
j-invariant |
L |
4.4892786509175 |
L(r)(E,1)/r! |
Ω |
0.10085136301394 |
Real period |
R |
2.2256906198248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486i1 |
Quadratic twists by: 5 |