Atkin-Lehner |
3+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
123981g |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
31924983519 = 35 · 112 · 13 · 174 |
Discriminant |
Eigenvalues |
-1 3+ -3 1 11- 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2607,49422] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-103:1] |
Generators of the group modulo torsion |
j |
23461810993/382239 |
j-invariant |
L |
2.4969789370962 |
L(r)(E,1)/r! |
Ω |
1.1722007459291 |
Real period |
R |
0.35502718582791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000579824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123981m1 |
Quadratic twists by: 17 |