Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ca |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-631314887112000 = -1 · 26 · 34 · 53 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20964,317610] |
[a1,a2,a3,a4,a6] |
Generators |
[1047:29458:27] |
Generators of the group modulo torsion |
j |
15920088397694144/9864295111125 |
j-invariant |
L |
7.6932386163289 |
L(r)(E,1)/r! |
Ω |
0.31725627213864 |
Real period |
R |
6.0623219220236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360q1 43680d2 |
Quadratic twists by: -4 8 |