Atkin-Lehner |
2- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498x |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
2352 |
Product of Tamagawa factors cp |
deg |
136604160 |
Modular degree for the optimal curve |
Δ |
6.512769437222E+28 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4260017902,106311619441963] |
[a1,a2,a3,a4,a6] |
Generators |
[24481:4073687:1] |
Generators of the group modulo torsion |
j |
4826161753845865279803871993/36762885597628361228288 |
j-invariant |
L |
18.930594156874 |
L(r)(E,1)/r! |
Ω |
0.03505005086819 |
Real period |
R |
0.91854040597681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10318d1 |
Quadratic twists by: -11 |