Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109820g |
Isogeny class |
Conductor |
109820 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-274550000 = -1 · 24 · 55 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 4 1 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130,1025] |
[a1,a2,a3,a4,a6] |
Generators |
[10:25:1] |
Generators of the group modulo torsion |
j |
-52950784/59375 |
j-invariant |
L |
7.3562195230044 |
L(r)(E,1)/r! |
Ω |
1.5777875589919 |
Real period |
R |
0.31082424960419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109820c1 |
Quadratic twists by: 17 |