Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080br |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-343329840 = -1 · 24 · 36 · 5 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18,-891] |
[a1,a2,a3,a4,a6] |
Generators |
[10:17:1] |
Generators of the group modulo torsion |
j |
55296/29435 |
j-invariant |
L |
7.9563093102351 |
L(r)(E,1)/r! |
Ω |
0.79845622279319 |
Real period |
R |
2.4911538926772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8120c1 |
Quadratic twists by: -3 |