Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bl |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
457157358 = 2 · 310 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1364,-19015] |
[a1,a2,a3,a4,a6] |
Generators |
[17940:288205:64] |
Generators of the group modulo torsion |
j |
7851356233/12798 |
j-invariant |
L |
11.600786184795 |
L(r)(E,1)/r! |
Ω |
0.7857119503353 |
Real period |
R |
7.3823404232064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23226r1 69678z1 |
Quadratic twists by: -3 -7 |