Atkin-Lehner |
3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104181r |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
18462110974461 = 37 · 73 · 114 · 412 |
Discriminant |
Eigenvalues |
0 3- -1 7- 11- -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15891,737534] |
[a1,a2,a3,a4,a6] |
Generators |
[264:3874:1] [-114:1039:1] |
Generators of the group modulo torsion |
j |
30313353478144/1260987021 |
j-invariant |
L |
11.131342935902 |
L(r)(E,1)/r! |
Ω |
0.68226526029384 |
Real period |
R |
0.12948628151481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181o1 |
Quadratic twists by: -11 |