Atkin-Lehner |
2+ 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69678j |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1359874680385536 = -1 · 212 · 36 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26157,698165] |
[a1,a2,a3,a4,a6] |
Generators |
[52936:1059617:512] |
Generators of the group modulo torsion |
j |
23076099423/15855616 |
j-invariant |
L |
4.6620309738165 |
L(r)(E,1)/r! |
Ω |
0.30375903252164 |
Real period |
R |
7.6738968632662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7742j1 9954a1 |
Quadratic twists by: -3 -7 |