Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360cb |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
20442240000 = 210 · 33 · 54 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42621,3372579] |
[a1,a2,a3,a4,a6] |
Generators |
[135:312:1] |
Generators of the group modulo torsion |
j |
8361897711794176/19963125 |
j-invariant |
L |
6.9054001914072 |
L(r)(E,1)/r! |
Ω |
1.0498820327525 |
Real period |
R |
1.0962184281991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360er1 10920e1 |
Quadratic twists by: -4 8 |