Atkin-Lehner |
2+ 3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
123624d |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
2.7573861868175E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4137159,-3229060678] |
[a1,a2,a3,a4,a6] |
Generators |
[58631003249582335:5173467599072104632:7039251317125] |
Generators of the group modulo torsion |
j |
41962644984639710032/147750888782657 |
j-invariant |
L |
10.006945585385 |
L(r)(E,1)/r! |
Ω |
0.10588049332923 |
Real period |
R |
23.627925323058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13736h1 |
Quadratic twists by: -3 |