Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
56880f |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-9951724800000 = -1 · 211 · 39 · 55 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31347,2141586] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-270:1] |
Generators of the group modulo torsion |
j |
-84506559174/246875 |
j-invariant |
L |
8.6624555614881 |
L(r)(E,1)/r! |
Ω |
0.72770592823232 |
Real period |
R |
0.59518929455705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28440c1 56880c1 |
Quadratic twists by: -4 -3 |