Atkin-Lehner |
3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104181u |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
7476392047509 = 37 · 75 · 112 · 412 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11- 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5122,49330] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:-431:1] [-55:409:1] |
Generators of the group modulo torsion |
j |
122840578060288/61788364029 |
j-invariant |
L |
6.0410745771944 |
L(r)(E,1)/r! |
Ω |
0.65699670582622 |
Real period |
R |
0.1313569225398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181q1 |
Quadratic twists by: -11 |