Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gv |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
6028661882880 = 222 · 35 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1916545,1020598655] |
[a1,a2,a3,a4,a6] |
Generators |
[1823:59904:1] |
Generators of the group modulo torsion |
j |
2969894891179808929/22997520 |
j-invariant |
L |
9.3394757971269 |
L(r)(E,1)/r! |
Ω |
0.52246968508076 |
Real period |
R |
1.7875631948672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bm1 21840w1 |
Quadratic twists by: -4 8 |