Atkin-Lehner |
2+ 3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130p |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-7968808991520 = -1 · 25 · 316 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9765,-393035] |
[a1,a2,a3,a4,a6] |
Generators |
[593:13919:1] |
Generators of the group modulo torsion |
j |
-141266096047441/10931150880 |
j-invariant |
L |
2.5174512831693 |
L(r)(E,1)/r! |
Ω |
0.23907003476642 |
Real period |
R |
2.6325458065042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710bb1 |
Quadratic twists by: -3 |