Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466n |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
17169408 |
Modular degree for the optimal curve |
Δ |
-6.7151311580355E+25 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11+ 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,69388654,325502045092] |
[a1,a2,a3,a4,a6] |
Generators |
[192748829856754:84229170116972368:1009027027] |
Generators of the group modulo torsion |
j |
471809218761278375/857495424676352 |
j-invariant |
L |
5.5242533040812 |
L(r)(E,1)/r! |
Ω |
0.042495957066853 |
Real period |
R |
16.249349601042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81466k1 |
Quadratic twists by: -23 |