Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400by |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-771840000000 = -1 · 214 · 32 · 57 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1992,-25488] |
[a1,a2,a3,a4,a6] |
Generators |
[18:126:1] |
Generators of the group modulo torsion |
j |
13651919/12060 |
j-invariant |
L |
5.3881242958081 |
L(r)(E,1)/r! |
Ω |
0.49337048818949 |
Real period |
R |
2.7302627667226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050j1 16080v1 |
Quadratic twists by: -4 5 |