Atkin-Lehner |
2- 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166o |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
195072287816112 = 24 · 3 · 78 · 893 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -1 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14799,-175323] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:366:1] |
Generators of the group modulo torsion |
j |
62178227377/33838512 |
j-invariant |
L |
6.271443533347 |
L(r)(E,1)/r! |
Ω |
0.46184236653327 |
Real period |
R |
1.1315988577846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498l1 26166v1 |
Quadratic twists by: -3 -7 |