Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360bu |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3514240000 = -1 · 210 · 54 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541,-5805] |
[a1,a2,a3,a4,a6] |
Generators |
[522:3927:8] |
Generators of the group modulo torsion |
j |
-17132394496/3431875 |
j-invariant |
L |
4.2541482683276 |
L(r)(E,1)/r! |
Ω |
0.48960093194955 |
Real period |
R |
4.3445059087165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999642507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360d1 25840e1 |
Quadratic twists by: -4 8 |