Atkin-Lehner |
3- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
118041l |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
8833536 |
Modular degree for the optimal curve |
Δ |
-3.7387601346577E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80583515,-278437763761] |
[a1,a2,a3,a4,a6] |
Generators |
[20031:2468845:1] |
Generators of the group modulo torsion |
j |
-491896900027975467649177/317789367921333 |
j-invariant |
L |
11.757787002841 |
L(r)(E,1)/r! |
Ω |
0.02519463036057 |
Real period |
R |
2.1605476319243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16863a1 |
Quadratic twists by: -7 |