Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bo |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-2937541790051568 = -1 · 24 · 36 · 79 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43301,-4328243] |
[a1,a2,a3,a4,a6] |
Generators |
[2102:11293:8] |
Generators of the group modulo torsion |
j |
-104686895097/34250608 |
j-invariant |
L |
7.4117385678017 |
L(r)(E,1)/r! |
Ω |
0.16277272731413 |
Real period |
R |
2.8458923561533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7742e1 9954b1 |
Quadratic twists by: -3 -7 |